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Finding the Fourth Proportional to 23,093,978.46, 34,648,661.07 and 7,742,787.18

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Solution

The fourth proportional to 23,093,978.46, 34,648,661.07 and 7,742,787.18 is: 11,616,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093,978.46 : 34,648,661.07 = 7,742,787.18 : x
  2. Step 2: Convert to fraction form
    23,093,978.46/34,648,661.07 = 7,742,787.18/x
  3. Step 3: Cross multiply
    23,093,978.46x = 34,648,661.07 × 7,742,787.18
  4. Step 4: Simplify right side
    23,093,978.46x = 268,277,208,736,961.06
  5. Step 5: Solve for x
    x = 268,277,208,736,961.06/23,093,978.46
  6. Step 6: Final answer
    x = 11,616,760.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.