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Finding the Fourth Proportional to 71,117.80, 106,678.32 and 24,370

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Solution

The fourth proportional to 71,117.80, 106,678.32 and 24,370 is: 36,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117.80 : 106,678.32 = 24,370 : x
  2. Step 2: Convert to fraction form
    71,117.80/106,678.32 = 24,370/x
  3. Step 3: Cross multiply
    71,117.80x = 106,678.32 × 24,370
  4. Step 4: Simplify right side
    71,117.80x = 2,599,750,658.40
  5. Step 5: Solve for x
    x = 2,599,750,658.40/71,117.80
  6. Step 6: Final answer
    x = 36,555.56

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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.