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Finding the Fourth Proportional to 57,466.50, 86,279.72 and 29,405.93

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Solution

The fourth proportional to 57,466.50, 86,279.72 and 29,405.93 is: 44,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466.50 : 86,279.72 = 29,405.93 : x
  2. Step 2: Convert to fraction form
    57,466.50/86,279.72 = 29,405.93/x
  3. Step 3: Cross multiply
    57,466.50x = 86,279.72 × 29,405.93
  4. Step 4: Simplify right side
    57,466.50x = 2,537,134,828.31
  5. Step 5: Solve for x
    x = 2,537,134,828.31/57,466.50
  6. Step 6: Final answer
    x = 44,149.81

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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.