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Finding the Fourth Proportional to 31,720.32, 47,565.58 and 18,397.10

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Solution

The fourth proportional to 31,720.32, 47,565.58 and 18,397.10 is: 27,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.32 : 47,565.58 = 18,397.10 : x
  2. Step 2: Convert to fraction form
    31,720.32/47,565.58 = 18,397.10/x
  3. Step 3: Cross multiply
    31,720.32x = 47,565.58 × 18,397.10
  4. Step 4: Simplify right side
    31,720.32x = 875,068,639.83
  5. Step 5: Solve for x
    x = 875,068,639.83/31,720.32
  6. Step 6: Final answer
    x = 27,587.01

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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.