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Finding the Fourth Proportional to 32,454.90, 48,675.33 and 10,270.08

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Solution

The fourth proportional to 32,454.90, 48,675.33 and 10,270.08 is: 15,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.90 : 48,675.33 = 10,270.08 : x
  2. Step 2: Convert to fraction form
    32,454.90/48,675.33 = 10,270.08/x
  3. Step 3: Cross multiply
    32,454.90x = 48,675.33 × 10,270.08
  4. Step 4: Simplify right side
    32,454.90x = 499,899,533.13
  5. Step 5: Solve for x
    x = 499,899,533.13/32,454.90
  6. Step 6: Final answer
    x = 15,402.90

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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.