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Finding the Fourth Proportional to 142,419.60, 213,633.72 and 48,924

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Solution

The fourth proportional to 142,419.60, 213,633.72 and 48,924 is: 73,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.60 : 213,633.72 = 48,924 : x
  2. Step 2: Convert to fraction form
    142,419.60/213,633.72 = 48,924/x
  3. Step 3: Cross multiply
    142,419.60x = 213,633.72 × 48,924
  4. Step 4: Simplify right side
    142,419.60x = 10,451,816,117.28
  5. Step 5: Solve for x
    x = 10,451,816,117.28/142,419.60
  6. Step 6: Final answer
    x = 73,387.48

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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.