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Finding the Fourth Proportional to 98,043.32, 147,040.68 and 27,923.24

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Solution

The fourth proportional to 98,043.32, 147,040.68 and 27,923.24 is: 41,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,043.32 : 147,040.68 = 27,923.24 : x
  2. Step 2: Convert to fraction form
    98,043.32/147,040.68 = 27,923.24/x
  3. Step 3: Cross multiply
    98,043.32x = 147,040.68 × 27,923.24
  4. Step 4: Simplify right side
    98,043.32x = 4,105,852,197.40
  5. Step 5: Solve for x
    x = 4,105,852,197.40/98,043.32
  6. Step 6: Final answer
    x = 41,877.94

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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.