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Finding the Fourth Proportional to 98,614.32, 147,862.28 and 38,571.28

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Solution

The fourth proportional to 98,614.32, 147,862.28 and 38,571.28 is: 57,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,614.32 : 147,862.28 = 38,571.28 : x
  2. Step 2: Convert to fraction form
    98,614.32/147,862.28 = 38,571.28/x
  3. Step 3: Cross multiply
    98,614.32x = 147,862.28 × 38,571.28
  4. Step 4: Simplify right side
    98,614.32x = 5,703,237,403.32
  5. Step 5: Solve for x
    x = 5,703,237,403.32/98,614.32
  6. Step 6: Final answer
    x = 57,833.76

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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.