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Finding the Fourth Proportional to 39,624, 59,395.96 and 24,843.28

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Solution

The fourth proportional to 39,624, 59,395.96 and 24,843.28 is: 37,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,624 : 59,395.96 = 24,843.28 : x
  2. Step 2: Convert to fraction form
    39,624/59,395.96 = 24,843.28/x
  3. Step 3: Cross multiply
    39,624x = 59,395.96 × 24,843.28
  4. Step 4: Simplify right side
    39,624x = 1,475,590,465.15
  5. Step 5: Solve for x
    x = 1,475,590,465.15/39,624
  6. Step 6: Final answer
    x = 37,239.82

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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.