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Finding the Fourth Proportional to 80,966.72, 121,460.32 and 31,712.32

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Solution

The fourth proportional to 80,966.72, 121,460.32 and 31,712.32 is: 47,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966.72 : 121,460.32 = 31,712.32 : x
  2. Step 2: Convert to fraction form
    80,966.72/121,460.32 = 31,712.32/x
  3. Step 3: Cross multiply
    80,966.72x = 121,460.32 × 31,712.32
  4. Step 4: Simplify right side
    80,966.72x = 3,851,788,535.14
  5. Step 5: Solve for x
    x = 3,851,788,535.14/80,966.72
  6. Step 6: Final answer
    x = 47,572.49

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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.