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Finding the Fourth Proportional to 32,469.40, 48,710.16 and 10,276.78

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Solution

The fourth proportional to 32,469.40, 48,710.16 and 10,276.78 is: 15,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.40 : 48,710.16 = 10,276.78 : x
  2. Step 2: Convert to fraction form
    32,469.40/48,710.16 = 10,276.78/x
  3. Step 3: Cross multiply
    32,469.40x = 48,710.16 × 10,276.78
  4. Step 4: Simplify right side
    32,469.40x = 500,583,598.08
  5. Step 5: Solve for x
    x = 500,583,598.08/32,469.40
  6. Step 6: Final answer
    x = 15,417.09

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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.