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Finding the Fourth Proportional to 34,472.07, 51,708.12 and 9,848.07

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Solution

The fourth proportional to 34,472.07, 51,708.12 and 9,848.07 is: 14,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.07 : 51,708.12 = 9,848.07 : x
  2. Step 2: Convert to fraction form
    34,472.07/51,708.12 = 9,848.07/x
  3. Step 3: Cross multiply
    34,472.07x = 51,708.12 × 9,848.07
  4. Step 4: Simplify right side
    34,472.07x = 509,225,185.33
  5. Step 5: Solve for x
    x = 509,225,185.33/34,472.07
  6. Step 6: Final answer
    x = 14,772.11

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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.