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Finding the Fourth Proportional to 32,001.87, 48,001 and 9,815.18

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Solution

The fourth proportional to 32,001.87, 48,001 and 9,815.18 is: 14,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.87 : 48,001 = 9,815.18 : x
  2. Step 2: Convert to fraction form
    32,001.87/48,001 = 9,815.18/x
  3. Step 3: Cross multiply
    32,001.87x = 48,001 × 9,815.18
  4. Step 4: Simplify right side
    32,001.87x = 471,138,455.18
  5. Step 5: Solve for x
    x = 471,138,455.18/32,001.87
  6. Step 6: Final answer
    x = 14,722.22

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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.