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Finding the Fourth Proportional to 51,657.75, 77,499.72 and 14,721.75

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Solution

The fourth proportional to 51,657.75, 77,499.72 and 14,721.75 is: 22,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657.75 : 77,499.72 = 14,721.75 : x
  2. Step 2: Convert to fraction form
    51,657.75/77,499.72 = 14,721.75/x
  3. Step 3: Cross multiply
    51,657.75x = 77,499.72 × 14,721.75
  4. Step 4: Simplify right side
    51,657.75x = 1,140,931,502.91
  5. Step 5: Solve for x
    x = 1,140,931,502.91/51,657.75
  6. Step 6: Final answer
    x = 22,086.36

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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.