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Finding the Fourth Proportional to 69,869.31, 96,419.03 and 38,038.13

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Solution

The fourth proportional to 69,869.31, 96,419.03 and 38,038.13 is: 52,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.31 : 96,419.03 = 38,038.13 : x
  2. Step 2: Convert to fraction form
    69,869.31/96,419.03 = 38,038.13/x
  3. Step 3: Cross multiply
    69,869.31x = 96,419.03 × 38,038.13
  4. Step 4: Simplify right side
    69,869.31x = 3,667,599,597.61
  5. Step 5: Solve for x
    x = 3,667,599,597.61/69,869.31
  6. Step 6: Final answer
    x = 52,492.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.