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Finding the Fourth Proportional to 62,052.90, 93,014.54 and 30,419.16

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Solution

The fourth proportional to 62,052.90, 93,014.54 and 30,419.16 is: 45,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,052.90 : 93,014.54 = 30,419.16 : x
  2. Step 2: Convert to fraction form
    62,052.90/93,014.54 = 30,419.16/x
  3. Step 3: Cross multiply
    62,052.90x = 93,014.54 × 30,419.16
  4. Step 4: Simplify right side
    62,052.90x = 2,829,423,787.76
  5. Step 5: Solve for x
    x = 2,829,423,787.76/62,052.90
  6. Step 6: Final answer
    x = 45,596.97

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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.