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Finding the Fourth Proportional to 49,366.68, 74,034.66 and 16,527

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Solution

The fourth proportional to 49,366.68, 74,034.66 and 16,527 is: 24,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,366.68 : 74,034.66 = 16,527 : x
  2. Step 2: Convert to fraction form
    49,366.68/74,034.66 = 16,527/x
  3. Step 3: Cross multiply
    49,366.68x = 74,034.66 × 16,527
  4. Step 4: Simplify right side
    49,366.68x = 1,223,570,825.82
  5. Step 5: Solve for x
    x = 1,223,570,825.82/49,366.68
  6. Step 6: Final answer
    x = 24,785.36

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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.