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Finding the Fourth Proportional to 56,736.24, 78,291 and 32,855.28

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Solution

The fourth proportional to 56,736.24, 78,291 and 32,855.28 is: 45,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736.24 : 78,291 = 32,855.28 : x
  2. Step 2: Convert to fraction form
    56,736.24/78,291 = 32,855.28/x
  3. Step 3: Cross multiply
    56,736.24x = 78,291 × 32,855.28
  4. Step 4: Simplify right side
    56,736.24x = 2,572,272,726.48
  5. Step 5: Solve for x
    x = 2,572,272,726.48/56,736.24
  6. Step 6: Final answer
    x = 45,337.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.