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Finding the Fourth Proportional to 54,776.90, 75,592.50 and 34,642.46

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Solution

The fourth proportional to 54,776.90, 75,592.50 and 34,642.46 is: 47,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.90 : 75,592.50 = 34,642.46 : x
  2. Step 2: Convert to fraction form
    54,776.90/75,592.50 = 34,642.46/x
  3. Step 3: Cross multiply
    54,776.90x = 75,592.50 × 34,642.46
  4. Step 4: Simplify right side
    54,776.90x = 2,618,710,157.55
  5. Step 5: Solve for x
    x = 2,618,710,157.55/54,776.90
  6. Step 6: Final answer
    x = 47,806.83

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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.