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Finding the Fourth Proportional to 66,535.16, 99,773.58 and 24,953

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Solution

The fourth proportional to 66,535.16, 99,773.58 and 24,953 is: 37,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535.16 : 99,773.58 = 24,953 : x
  2. Step 2: Convert to fraction form
    66,535.16/99,773.58 = 24,953/x
  3. Step 3: Cross multiply
    66,535.16x = 99,773.58 × 24,953
  4. Step 4: Simplify right side
    66,535.16x = 2,489,650,141.74
  5. Step 5: Solve for x
    x = 2,489,650,141.74/66,535.16
  6. Step 6: Final answer
    x = 37,418.56

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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.