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Finding the Fourth Proportional to 32,272.80, 44,547.36 and 20,356

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Solution

The fourth proportional to 32,272.80, 44,547.36 and 20,356 is: 28,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272.80 : 44,547.36 = 20,356 : x
  2. Step 2: Convert to fraction form
    32,272.80/44,547.36 = 20,356/x
  3. Step 3: Cross multiply
    32,272.80x = 44,547.36 × 20,356
  4. Step 4: Simplify right side
    32,272.80x = 906,806,060.16
  5. Step 5: Solve for x
    x = 906,806,060.16/32,272.80
  6. Step 6: Final answer
    x = 28,098.15

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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.