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Finding the Fourth Proportional to 94,295.52, 141,443.28 and 31,949.28

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Solution

The fourth proportional to 94,295.52, 141,443.28 and 31,949.28 is: 47,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,295.52 : 141,443.28 = 31,949.28 : x
  2. Step 2: Convert to fraction form
    94,295.52/141,443.28 = 31,949.28/x
  3. Step 3: Cross multiply
    94,295.52x = 141,443.28 × 31,949.28
  4. Step 4: Simplify right side
    94,295.52x = 4,519,010,956.84
  5. Step 5: Solve for x
    x = 4,519,010,956.84/94,295.52
  6. Step 6: Final answer
    x = 47,923.92

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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.