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Finding the Fourth Proportional to 50,564.64, 75,854.88 and 15,500.64

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Solution

The fourth proportional to 50,564.64, 75,854.88 and 15,500.64 is: 23,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.64 : 75,854.88 = 15,500.64 : x
  2. Step 2: Convert to fraction form
    50,564.64/75,854.88 = 15,500.64/x
  3. Step 3: Cross multiply
    50,564.64x = 75,854.88 × 15,500.64
  4. Step 4: Simplify right side
    50,564.64x = 1,175,799,187.12
  5. Step 5: Solve for x
    x = 1,175,799,187.12/50,564.64
  6. Step 6: Final answer
    x = 23,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.