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Finding the Fourth Proportional to 32,209.14, 48,259.04 and 15,577

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Solution

The fourth proportional to 32,209.14, 48,259.04 and 15,577 is: 23,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.14 : 48,259.04 = 15,577 : x
  2. Step 2: Convert to fraction form
    32,209.14/48,259.04 = 15,577/x
  3. Step 3: Cross multiply
    32,209.14x = 48,259.04 × 15,577
  4. Step 4: Simplify right side
    32,209.14x = 751,731,066.08
  5. Step 5: Solve for x
    x = 751,731,066.08/32,209.14
  6. Step 6: Final answer
    x = 23,339.06

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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.