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Finding the Fourth Proportional to 97,901.24, 146,852 and 24,029.24

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Solution

The fourth proportional to 97,901.24, 146,852 and 24,029.24 is: 36,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,901.24 : 146,852 = 24,029.24 : x
  2. Step 2: Convert to fraction form
    97,901.24/146,852 = 24,029.24/x
  3. Step 3: Cross multiply
    97,901.24x = 146,852 × 24,029.24
  4. Step 4: Simplify right side
    97,901.24x = 3,528,741,952.48
  5. Step 5: Solve for x
    x = 3,528,741,952.48/97,901.24
  6. Step 6: Final answer
    x = 36,043.89

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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.