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Finding the Fourth Proportional to 52,132.60, 78,199.02 and 12,689.64

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Solution

The fourth proportional to 52,132.60, 78,199.02 and 12,689.64 is: 19,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.60 : 78,199.02 = 12,689.64 : x
  2. Step 2: Convert to fraction form
    52,132.60/78,199.02 = 12,689.64/x
  3. Step 3: Cross multiply
    52,132.60x = 78,199.02 × 12,689.64
  4. Step 4: Simplify right side
    52,132.60x = 992,317,412.15
  5. Step 5: Solve for x
    x = 992,317,412.15/52,132.60
  6. Step 6: Final answer
    x = 19,034.49

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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.