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Finding the Fourth Proportional to 57,534.66, 86,246.22 and 29,467.98

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Solution

The fourth proportional to 57,534.66, 86,246.22 and 29,467.98 is: 44,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534.66 : 86,246.22 = 29,467.98 : x
  2. Step 2: Convert to fraction form
    57,534.66/86,246.22 = 29,467.98/x
  3. Step 3: Cross multiply
    57,534.66x = 86,246.22 × 29,467.98
  4. Step 4: Simplify right side
    57,534.66x = 2,541,501,886.04
  5. Step 5: Solve for x
    x = 2,541,501,886.04/57,534.66
  6. Step 6: Final answer
    x = 44,173.41

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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.