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Finding the Fourth Proportional to 32,458.12, 48,687.42 and 10,271.08

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Solution

The fourth proportional to 32,458.12, 48,687.42 and 10,271.08 is: 15,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.12 : 48,687.42 = 10,271.08 : x
  2. Step 2: Convert to fraction form
    32,458.12/48,687.42 = 10,271.08/x
  3. Step 3: Cross multiply
    32,458.12x = 48,687.42 × 10,271.08
  4. Step 4: Simplify right side
    32,458.12x = 500,072,385.81
  5. Step 5: Solve for x
    x = 500,072,385.81/32,458.12
  6. Step 6: Final answer
    x = 15,406.70

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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.