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Finding the Fourth Proportional to 64,139.94, 96,230.82 and 30,862.68

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Solution

The fourth proportional to 64,139.94, 96,230.82 and 30,862.68 is: 46,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,139.94 : 96,230.82 = 30,862.68 : x
  2. Step 2: Convert to fraction form
    64,139.94/96,230.82 = 30,862.68/x
  3. Step 3: Cross multiply
    64,139.94x = 96,230.82 × 30,862.68
  4. Step 4: Simplify right side
    64,139.94x = 2,969,941,003.80
  5. Step 5: Solve for x
    x = 2,969,941,003.80/64,139.94
  6. Step 6: Final answer
    x = 46,304.08

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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.