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Finding the Fourth Proportional to 82,312.13, 113,590.76 and 44,586.38

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Solution

The fourth proportional to 82,312.13, 113,590.76 and 44,586.38 is: 61,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.13 : 113,590.76 = 44,586.38 : x
  2. Step 2: Convert to fraction form
    82,312.13/113,590.76 = 44,586.38/x
  3. Step 3: Cross multiply
    82,312.13x = 113,590.76 × 44,586.38
  4. Step 4: Simplify right side
    82,312.13x = 5,064,600,850.89
  5. Step 5: Solve for x
    x = 5,064,600,850.89/82,312.13
  6. Step 6: Final answer
    x = 61,529.21

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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.