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Finding the Fourth Proportional to 83,356, 125,034 and 24,988

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Solution

The fourth proportional to 83,356, 125,034 and 24,988 is: 37,482

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,356 : 125,034 = 24,988 : x
  2. Step 2: Convert to fraction form
    83,356/125,034 = 24,988/x
  3. Step 3: Cross multiply
    83,356x = 125,034 × 24,988
  4. Step 4: Simplify right side
    83,356x = 3,124,349,592
  5. Step 5: Solve for x
    x = 3,124,349,592/83,356
  6. Step 6: Final answer
    x = 37,482

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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.