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Finding the Fourth Proportional to 69,833.16, 96,366.90 and 38,002.14

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Solution

The fourth proportional to 69,833.16, 96,366.90 and 38,002.14 is: 52,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.16 : 96,366.90 = 38,002.14 : x
  2. Step 2: Convert to fraction form
    69,833.16/96,366.90 = 38,002.14/x
  3. Step 3: Cross multiply
    69,833.16x = 96,366.90 × 38,002.14
  4. Step 4: Simplify right side
    69,833.16x = 3,662,148,425.17
  5. Step 5: Solve for x
    x = 3,662,148,425.17/69,833.16
  6. Step 6: Final answer
    x = 52,441.40

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