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Finding the Fourth Proportional to 56,211.52, 84,321.76 and 14,658.88

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Solution

The fourth proportional to 56,211.52, 84,321.76 and 14,658.88 is: 21,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,211.52 : 84,321.76 = 14,658.88 : x
  2. Step 2: Convert to fraction form
    56,211.52/84,321.76 = 14,658.88/x
  3. Step 3: Cross multiply
    56,211.52x = 84,321.76 × 14,658.88
  4. Step 4: Simplify right side
    56,211.52x = 1,236,062,561.23
  5. Step 5: Solve for x
    x = 1,236,062,561.23/56,211.52
  6. Step 6: Final answer
    x = 21,989.49

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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.