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Finding the Fourth Proportional to 66,114.64, 99,218.04 and 29,158.48

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Solution

The fourth proportional to 66,114.64, 99,218.04 and 29,158.48 is: 43,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114.64 : 99,218.04 = 29,158.48 : x
  2. Step 2: Convert to fraction form
    66,114.64/99,218.04 = 29,158.48/x
  3. Step 3: Cross multiply
    66,114.64x = 99,218.04 × 29,158.48
  4. Step 4: Simplify right side
    66,114.64x = 2,893,047,234.98
  5. Step 5: Solve for x
    x = 2,893,047,234.98/66,114.64
  6. Step 6: Final answer
    x = 43,758.04

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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.