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Finding the Fourth Proportional to 83,598, 125,404.29 and 21,268.50

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Solution

The fourth proportional to 83,598, 125,404.29 and 21,268.50 is: 31,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,598 : 125,404.29 = 21,268.50 : x
  2. Step 2: Convert to fraction form
    83,598/125,404.29 = 21,268.50/x
  3. Step 3: Cross multiply
    83,598x = 125,404.29 × 21,268.50
  4. Step 4: Simplify right side
    83,598x = 2,667,161,141.87
  5. Step 5: Solve for x
    x = 2,667,161,141.87/83,598
  6. Step 6: Final answer
    x = 31,904.60

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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.