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Finding the Fourth Proportional to 75,782.40, 104,574.72 and 42,247.68

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Solution

The fourth proportional to 75,782.40, 104,574.72 and 42,247.68 is: 58,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782.40 : 104,574.72 = 42,247.68 : x
  2. Step 2: Convert to fraction form
    75,782.40/104,574.72 = 42,247.68/x
  3. Step 3: Cross multiply
    75,782.40x = 104,574.72 × 42,247.68
  4. Step 4: Simplify right side
    75,782.40x = 4,418,039,306.65
  5. Step 5: Solve for x
    x = 4,418,039,306.65/75,782.40
  6. Step 6: Final answer
    x = 58,299.02

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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.