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Finding the Fourth Proportional to 32,142.61, 44,350.59 and 20,810.53

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Solution

The fourth proportional to 32,142.61, 44,350.59 and 20,810.53 is: 28,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.61 : 44,350.59 = 20,810.53 : x
  2. Step 2: Convert to fraction form
    32,142.61/44,350.59 = 20,810.53/x
  3. Step 3: Cross multiply
    32,142.61x = 44,350.59 × 20,810.53
  4. Step 4: Simplify right side
    32,142.61x = 922,959,283.71
  5. Step 5: Solve for x
    x = 922,959,283.71/32,142.61
  6. Step 6: Final answer
    x = 28,714.51

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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.