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Finding the Fourth Proportional to 48,251.84, 72,706.46 and 39,678.80

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Solution

The fourth proportional to 48,251.84, 72,706.46 and 39,678.80 is: 59,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,251.84 : 72,706.46 = 39,678.80 : x
  2. Step 2: Convert to fraction form
    48,251.84/72,706.46 = 39,678.80/x
  3. Step 3: Cross multiply
    48,251.84x = 72,706.46 × 39,678.80
  4. Step 4: Simplify right side
    48,251.84x = 2,884,905,085.05
  5. Step 5: Solve for x
    x = 2,884,905,085.05/48,251.84
  6. Step 6: Final answer
    x = 59,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.