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Finding the Fourth Proportional to 83,903.69, 115,776.56 and 56,738.87

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Solution

The fourth proportional to 83,903.69, 115,776.56 and 56,738.87 is: 78,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.69 : 115,776.56 = 56,738.87 : x
  2. Step 2: Convert to fraction form
    83,903.69/115,776.56 = 56,738.87/x
  3. Step 3: Cross multiply
    83,903.69x = 115,776.56 × 56,738.87
  4. Step 4: Simplify right side
    83,903.69x = 6,569,031,618.18
  5. Step 5: Solve for x
    x = 6,569,031,618.18/83,903.69
  6. Step 6: Final answer
    x = 78,292.53

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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.