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Finding the Fourth Proportional to 74,522.88, 102,849.12 and 42,696

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Solution

The fourth proportional to 74,522.88, 102,849.12 and 42,696 is: 58,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,522.88 : 102,849.12 = 42,696 : x
  2. Step 2: Convert to fraction form
    74,522.88/102,849.12 = 42,696/x
  3. Step 3: Cross multiply
    74,522.88x = 102,849.12 × 42,696
  4. Step 4: Simplify right side
    74,522.88x = 4,391,246,027.52
  5. Step 5: Solve for x
    x = 4,391,246,027.52/74,522.88
  6. Step 6: Final answer
    x = 58,924.80

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