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Finding the Fourth Proportional to 94,142, 129,927.48 and 54,398

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Solution

The fourth proportional to 94,142, 129,927.48 and 54,398 is: 75,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,142 : 129,927.48 = 54,398 : x
  2. Step 2: Convert to fraction form
    94,142/129,927.48 = 54,398/x
  3. Step 3: Cross multiply
    94,142x = 129,927.48 × 54,398
  4. Step 4: Simplify right side
    94,142x = 7,067,795,057.04
  5. Step 5: Solve for x
    x = 7,067,795,057.04/94,142
  6. Step 6: Final answer
    x = 75,075.90

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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.