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Finding the Fourth Proportional to 56,931.90, 85,398.14 and 23,652

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Solution

The fourth proportional to 56,931.90, 85,398.14 and 23,652 is: 35,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,931.90 : 85,398.14 = 23,652 : x
  2. Step 2: Convert to fraction form
    56,931.90/85,398.14 = 23,652/x
  3. Step 3: Cross multiply
    56,931.90x = 85,398.14 × 23,652
  4. Step 4: Simplify right side
    56,931.90x = 2,019,836,807.28
  5. Step 5: Solve for x
    x = 2,019,836,807.28/56,931.90
  6. Step 6: Final answer
    x = 35,478.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.