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Finding the Fourth Proportional to 55,972.50, 77,242.05 and 30,822

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Solution

The fourth proportional to 55,972.50, 77,242.05 and 30,822 is: 42,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972.50 : 77,242.05 = 30,822 : x
  2. Step 2: Convert to fraction form
    55,972.50/77,242.05 = 30,822/x
  3. Step 3: Cross multiply
    55,972.50x = 77,242.05 × 30,822
  4. Step 4: Simplify right side
    55,972.50x = 2,380,754,465.10
  5. Step 5: Solve for x
    x = 2,380,754,465.10/55,972.50
  6. Step 6: Final answer
    x = 42,534.36

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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.