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Finding the Fourth Proportional to 32,359, 44,656.50 and 19,781.32

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Solution

The fourth proportional to 32,359, 44,656.50 and 19,781.32 is: 27,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359 : 44,656.50 = 19,781.32 : x
  2. Step 2: Convert to fraction form
    32,359/44,656.50 = 19,781.32/x
  3. Step 3: Cross multiply
    32,359x = 44,656.50 × 19,781.32
  4. Step 4: Simplify right side
    32,359x = 883,364,516.58
  5. Step 5: Solve for x
    x = 883,364,516.58/32,359
  6. Step 6: Final answer
    x = 27,298.88

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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.