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Finding the Fourth Proportional to 74,572.48, 111,887.88 and 27,829

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Solution

The fourth proportional to 74,572.48, 111,887.88 and 27,829 is: 41,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,572.48 : 111,887.88 = 27,829 : x
  2. Step 2: Convert to fraction form
    74,572.48/111,887.88 = 27,829/x
  3. Step 3: Cross multiply
    74,572.48x = 111,887.88 × 27,829
  4. Step 4: Simplify right side
    74,572.48x = 3,113,727,812.52
  5. Step 5: Solve for x
    x = 3,113,727,812.52/74,572.48
  6. Step 6: Final answer
    x = 41,754.38

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