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Finding the Fourth Proportional to 74,524.88, 102,851.88 and 42,698

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Solution

The fourth proportional to 74,524.88, 102,851.88 and 42,698 is: 58,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524.88 : 102,851.88 = 42,698 : x
  2. Step 2: Convert to fraction form
    74,524.88/102,851.88 = 42,698/x
  3. Step 3: Cross multiply
    74,524.88x = 102,851.88 × 42,698
  4. Step 4: Simplify right side
    74,524.88x = 4,391,569,572.24
  5. Step 5: Solve for x
    x = 4,391,569,572.24/74,524.88
  6. Step 6: Final answer
    x = 58,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.