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Finding the Fourth Proportional to 83,244, 114,877.20 and 53,436

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Solution

The fourth proportional to 83,244, 114,877.20 and 53,436 is: 73,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 114,877.20 = 53,436 : x
  2. Step 2: Convert to fraction form
    83,244/114,877.20 = 53,436/x
  3. Step 3: Cross multiply
    83,244x = 114,877.20 × 53,436
  4. Step 4: Simplify right side
    83,244x = 6,138,578,059.20
  5. Step 5: Solve for x
    x = 6,138,578,059.20/83,244
  6. Step 6: Final answer
    x = 73,741.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.