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Finding the Fourth Proportional to 51,656.52, 77,495.88 and 16,596

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Solution

The fourth proportional to 51,656.52, 77,495.88 and 16,596 is: 24,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656.52 : 77,495.88 = 16,596 : x
  2. Step 2: Convert to fraction form
    51,656.52/77,495.88 = 16,596/x
  3. Step 3: Cross multiply
    51,656.52x = 77,495.88 × 16,596
  4. Step 4: Simplify right side
    51,656.52x = 1,286,121,624.48
  5. Step 5: Solve for x
    x = 1,286,121,624.48/51,656.52
  6. Step 6: Final answer
    x = 24,897.57

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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.