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Finding the Fourth Proportional to 32,001.42, 48,009.52 and 9,818.04

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Solution

The fourth proportional to 32,001.42, 48,009.52 and 9,818.04 is: 14,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.42 : 48,009.52 = 9,818.04 : x
  2. Step 2: Convert to fraction form
    32,001.42/48,009.52 = 9,818.04/x
  3. Step 3: Cross multiply
    32,001.42x = 48,009.52 × 9,818.04
  4. Step 4: Simplify right side
    32,001.42x = 471,359,387.74
  5. Step 5: Solve for x
    x = 471,359,387.74/32,001.42
  6. Step 6: Final answer
    x = 14,729.33

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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.