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Finding the Fourth Proportional to 71,062.64, 106,477.31 and 24,290.00

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Solution

The fourth proportional to 71,062.64, 106,477.31 and 24,290.00 is: 36,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062.64 : 106,477.31 = 24,290.00 : x
  2. Step 2: Convert to fraction form
    71,062.64/106,477.31 = 24,290.00/x
  3. Step 3: Cross multiply
    71,062.64x = 106,477.31 × 24,290.00
  4. Step 4: Simplify right side
    71,062.64x = 2,586,333,388.24
  5. Step 5: Solve for x
    x = 2,586,333,388.24/71,062.64
  6. Step 6: Final answer
    x = 36,395.12

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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.