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Finding the Fourth Proportional to 69,856.72, 96,402.16 and 38,025.52

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Solution

The fourth proportional to 69,856.72, 96,402.16 and 38,025.52 is: 52,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,856.72 : 96,402.16 = 38,025.52 : x
  2. Step 2: Convert to fraction form
    69,856.72/96,402.16 = 38,025.52/x
  3. Step 3: Cross multiply
    69,856.72x = 96,402.16 × 38,025.52
  4. Step 4: Simplify right side
    69,856.72x = 3,665,742,263.12
  5. Step 5: Solve for x
    x = 3,665,742,263.12/69,856.72
  6. Step 6: Final answer
    x = 52,475.16

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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.