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Finding the Fourth Proportional to 53,041.53, 79,562.31 and 13,599

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Solution

The fourth proportional to 53,041.53, 79,562.31 and 13,599 is: 20,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,041.53 : 79,562.31 = 13,599 : x
  2. Step 2: Convert to fraction form
    53,041.53/79,562.31 = 13,599/x
  3. Step 3: Cross multiply
    53,041.53x = 79,562.31 × 13,599
  4. Step 4: Simplify right side
    53,041.53x = 1,081,967,853.69
  5. Step 5: Solve for x
    x = 1,081,967,853.69/53,041.53
  6. Step 6: Final answer
    x = 20,398.50

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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.