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Finding the Fourth Proportional to 49,659, 74,488.50 and 14,597.88

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Solution

The fourth proportional to 49,659, 74,488.50 and 14,597.88 is: 21,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,659 : 74,488.50 = 14,597.88 : x
  2. Step 2: Convert to fraction form
    49,659/74,488.50 = 14,597.88/x
  3. Step 3: Cross multiply
    49,659x = 74,488.50 × 14,597.88
  4. Step 4: Simplify right side
    49,659x = 1,087,374,184.38
  5. Step 5: Solve for x
    x = 1,087,374,184.38/49,659
  6. Step 6: Final answer
    x = 21,896.82

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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.