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Finding the Fourth Proportional to 42,530, 63,773.54 and 24,766.40

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Solution

The fourth proportional to 42,530, 63,773.54 and 24,766.40 is: 37,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,530 : 63,773.54 = 24,766.40 : x
  2. Step 2: Convert to fraction form
    42,530/63,773.54 = 24,766.40/x
  3. Step 3: Cross multiply
    42,530x = 63,773.54 × 24,766.40
  4. Step 4: Simplify right side
    42,530x = 1,579,441,001.06
  5. Step 5: Solve for x
    x = 1,579,441,001.06/42,530
  6. Step 6: Final answer
    x = 37,137.10

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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.