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Finding the Fourth Proportional to 83,235.38, 114,864.82 and 45,509.63

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Solution

The fourth proportional to 83,235.38, 114,864.82 and 45,509.63 is: 62,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.38 : 114,864.82 = 45,509.63 : x
  2. Step 2: Convert to fraction form
    83,235.38/114,864.82 = 45,509.63/x
  3. Step 3: Cross multiply
    83,235.38x = 114,864.82 × 45,509.63
  4. Step 4: Simplify right side
    83,235.38x = 5,227,454,770.12
  5. Step 5: Solve for x
    x = 5,227,454,770.12/83,235.38
  6. Step 6: Final answer
    x = 62,803.28

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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.