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Finding the Fourth Proportional to 32,062.41, 48,098.88 and 9,875.30

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Solution

The fourth proportional to 32,062.41, 48,098.88 and 9,875.30 is: 14,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.41 : 48,098.88 = 9,875.30 : x
  2. Step 2: Convert to fraction form
    32,062.41/48,098.88 = 9,875.30/x
  3. Step 3: Cross multiply
    32,062.41x = 48,098.88 × 9,875.30
  4. Step 4: Simplify right side
    32,062.41x = 474,990,629.17
  5. Step 5: Solve for x
    x = 474,990,629.17/32,062.41
  6. Step 6: Final answer
    x = 14,814.56

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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.