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Finding the Fourth Proportional to 75,376.80, 112,870.80 and 59,824.80

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Solution

The fourth proportional to 75,376.80, 112,870.80 and 59,824.80 is: 89,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,376.80 : 112,870.80 = 59,824.80 : x
  2. Step 2: Convert to fraction form
    75,376.80/112,870.80 = 59,824.80/x
  3. Step 3: Cross multiply
    75,376.80x = 112,870.80 × 59,824.80
  4. Step 4: Simplify right side
    75,376.80x = 6,752,473,035.84
  5. Step 5: Solve for x
    x = 6,752,473,035.84/75,376.80
  6. Step 6: Final answer
    x = 89,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.