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Finding the Fourth Proportional to 57,663.42, 86,498.77 and 24,377.28

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Solution

The fourth proportional to 57,663.42, 86,498.77 and 24,377.28 is: 36,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663.42 : 86,498.77 = 24,377.28 : x
  2. Step 2: Convert to fraction form
    57,663.42/86,498.77 = 24,377.28/x
  3. Step 3: Cross multiply
    57,663.42x = 86,498.77 × 24,377.28
  4. Step 4: Simplify right side
    57,663.42x = 2,108,604,303.45
  5. Step 5: Solve for x
    x = 2,108,604,303.45/57,663.42
  6. Step 6: Final answer
    x = 36,567.45

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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.