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Finding the Fourth Proportional to 56,402.54, 77,843.68 and 32,524.46

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Solution

The fourth proportional to 56,402.54, 77,843.68 and 32,524.46 is: 44,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,402.54 : 77,843.68 = 32,524.46 : x
  2. Step 2: Convert to fraction form
    56,402.54/77,843.68 = 32,524.46/x
  3. Step 3: Cross multiply
    56,402.54x = 77,843.68 × 32,524.46
  4. Step 4: Simplify right side
    56,402.54x = 2,531,823,656.41
  5. Step 5: Solve for x
    x = 2,531,823,656.41/56,402.54
  6. Step 6: Final answer
    x = 44,888.47

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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.