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Finding the Fourth Proportional to 56,408.52, 77,824.68 and 32,534.58

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Solution

The fourth proportional to 56,408.52, 77,824.68 and 32,534.58 is: 44,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.52 : 77,824.68 = 32,534.58 : x
  2. Step 2: Convert to fraction form
    56,408.52/77,824.68 = 32,534.58/x
  3. Step 3: Cross multiply
    56,408.52x = 77,824.68 × 32,534.58
  4. Step 4: Simplify right side
    56,408.52x = 2,531,993,277.43
  5. Step 5: Solve for x
    x = 2,531,993,277.43/56,408.52
  6. Step 6: Final answer
    x = 44,886.72

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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.