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Finding the Fourth Proportional to 78,586.16, 108,447 and 45,050

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Solution

The fourth proportional to 78,586.16, 108,447 and 45,050 is: 62,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.16 : 108,447 = 45,050 : x
  2. Step 2: Convert to fraction form
    78,586.16/108,447 = 45,050/x
  3. Step 3: Cross multiply
    78,586.16x = 108,447 × 45,050
  4. Step 4: Simplify right side
    78,586.16x = 4,885,537,350
  5. Step 5: Solve for x
    x = 4,885,537,350/78,586.16
  6. Step 6: Final answer
    x = 62,167.91

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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.