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Finding the Fourth Proportional to 60,306.12, 83,221.02 and 35,154

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Solution

The fourth proportional to 60,306.12, 83,221.02 and 35,154 is: 48,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,306.12 : 83,221.02 = 35,154 : x
  2. Step 2: Convert to fraction form
    60,306.12/83,221.02 = 35,154/x
  3. Step 3: Cross multiply
    60,306.12x = 83,221.02 × 35,154
  4. Step 4: Simplify right side
    60,306.12x = 2,925,551,737.08
  5. Step 5: Solve for x
    x = 2,925,551,737.08/60,306.12
  6. Step 6: Final answer
    x = 48,511.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.