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Finding the Fourth Proportional to 83,460.78, 115,113.10 and 57,967.18

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Solution

The fourth proportional to 83,460.78, 115,113.10 and 57,967.18 is: 79,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.78 : 115,113.10 = 57,967.18 : x
  2. Step 2: Convert to fraction form
    83,460.78/115,113.10 = 57,967.18/x
  3. Step 3: Cross multiply
    83,460.78x = 115,113.10 × 57,967.18
  4. Step 4: Simplify right side
    83,460.78x = 6,672,781,788.06
  5. Step 5: Solve for x
    x = 6,672,781,788.06/83,460.78
  6. Step 6: Final answer
    x = 79,951.11

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1.5x scale

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.