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Finding the Fourth Proportional to 101,596.16, 152,393.28 and 39,223.04

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Solution

The fourth proportional to 101,596.16, 152,393.28 and 39,223.04 is: 58,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.16 : 152,393.28 = 39,223.04 : x
  2. Step 2: Convert to fraction form
    101,596.16/152,393.28 = 39,223.04/x
  3. Step 3: Cross multiply
    101,596.16x = 152,393.28 × 39,223.04
  4. Step 4: Simplify right side
    101,596.16x = 5,977,327,717.17
  5. Step 5: Solve for x
    x = 5,977,327,717.17/101,596.16
  6. Step 6: Final answer
    x = 58,834.19

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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.