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Finding the Fourth Proportional to 75,306.48, 103,838.94 and 48,411.84

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Solution

The fourth proportional to 75,306.48, 103,838.94 and 48,411.84 is: 66,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306.48 : 103,838.94 = 48,411.84 : x
  2. Step 2: Convert to fraction form
    75,306.48/103,838.94 = 48,411.84/x
  3. Step 3: Cross multiply
    75,306.48x = 103,838.94 × 48,411.84
  4. Step 4: Simplify right side
    75,306.48x = 5,027,034,149.05
  5. Step 5: Solve for x
    x = 5,027,034,149.05/75,306.48
  6. Step 6: Final answer
    x = 66,754.34

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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.