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Finding the Fourth Proportional to 57,643.70, 86,417.55 and 24,389.30

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Solution

The fourth proportional to 57,643.70, 86,417.55 and 24,389.30 is: 36,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.70 : 86,417.55 = 24,389.30 : x
  2. Step 2: Convert to fraction form
    57,643.70/86,417.55 = 24,389.30/x
  3. Step 3: Cross multiply
    57,643.70x = 86,417.55 × 24,389.30
  4. Step 4: Simplify right side
    57,643.70x = 2,107,663,552.22
  5. Step 5: Solve for x
    x = 2,107,663,552.22/57,643.70
  6. Step 6: Final answer
    x = 36,563.64

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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.