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Finding the Fourth Proportional to 56,045.85, 83,820.92 and 49,849.35

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Solution

The fourth proportional to 56,045.85, 83,820.92 and 49,849.35 is: 74,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,045.85 : 83,820.92 = 49,849.35 : x
  2. Step 2: Convert to fraction form
    56,045.85/83,820.92 = 49,849.35/x
  3. Step 3: Cross multiply
    56,045.85x = 83,820.92 × 49,849.35
  4. Step 4: Simplify right side
    56,045.85x = 4,178,418,129.16
  5. Step 5: Solve for x
    x = 4,178,418,129.16/56,045.85
  6. Step 6: Final answer
    x = 74,553.57

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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.