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Finding the Fourth Proportional to 32,689, 45,111.14 and 17,785.32

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Solution

The fourth proportional to 32,689, 45,111.14 and 17,785.32 is: 24,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689 : 45,111.14 = 17,785.32 : x
  2. Step 2: Convert to fraction form
    32,689/45,111.14 = 17,785.32/x
  3. Step 3: Cross multiply
    32,689x = 45,111.14 × 17,785.32
  4. Step 4: Simplify right side
    32,689x = 802,316,060.46
  5. Step 5: Solve for x
    x = 802,316,060.46/32,689
  6. Step 6: Final answer
    x = 24,543.92

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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.