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Finding the Fourth Proportional to 103,882.92, 155,701.32 and 47,675.66

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Solution

The fourth proportional to 103,882.92, 155,701.32 and 47,675.66 is: 71,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,882.92 : 155,701.32 = 47,675.66 : x
  2. Step 2: Convert to fraction form
    103,882.92/155,701.32 = 47,675.66/x
  3. Step 3: Cross multiply
    103,882.92x = 155,701.32 × 47,675.66
  4. Step 4: Simplify right side
    103,882.92x = 7,423,163,193.87
  5. Step 5: Solve for x
    x = 7,423,163,193.87/103,882.92
  6. Step 6: Final answer
    x = 71,457.01

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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.