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Finding the Fourth Proportional to 49,152.64, 73,724.86 and 25,434.63

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Solution

The fourth proportional to 49,152.64, 73,724.86 and 25,434.63 is: 38,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.64 : 73,724.86 = 25,434.63 : x
  2. Step 2: Convert to fraction form
    49,152.64/73,724.86 = 25,434.63/x
  3. Step 3: Cross multiply
    49,152.64x = 73,724.86 × 25,434.63
  4. Step 4: Simplify right side
    49,152.64x = 1,875,164,535.90
  5. Step 5: Solve for x
    x = 1,875,164,535.90/49,152.64
  6. Step 6: Final answer
    x = 38,149.82

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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.