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Finding the Fourth Proportional to 83,231.76, 114,859.82 and 45,506

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Solution

The fourth proportional to 83,231.76, 114,859.82 and 45,506 is: 62,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.76 : 114,859.82 = 45,506 : x
  2. Step 2: Convert to fraction form
    83,231.76/114,859.82 = 45,506/x
  3. Step 3: Cross multiply
    83,231.76x = 114,859.82 × 45,506
  4. Step 4: Simplify right side
    83,231.76x = 5,226,810,968.92
  5. Step 5: Solve for x
    x = 5,226,810,968.92/83,231.76
  6. Step 6: Final answer
    x = 62,798.28

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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.