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Finding the Fourth Proportional to 137,057.70, 205,587.54 and 48,312.84

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Solution

The fourth proportional to 137,057.70, 205,587.54 and 48,312.84 is: 72,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.70 : 205,587.54 = 48,312.84 : x
  2. Step 2: Convert to fraction form
    137,057.70/205,587.54 = 48,312.84/x
  3. Step 3: Cross multiply
    137,057.70x = 205,587.54 × 48,312.84
  4. Step 4: Simplify right side
    137,057.70x = 9,932,517,926.01
  5. Step 5: Solve for x
    x = 9,932,517,926.01/137,057.70
  6. Step 6: Final answer
    x = 72,469.61

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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.