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Finding the Fourth Proportional to 83,460.84, 115,113.12 and 57,967.22

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Solution

The fourth proportional to 83,460.84, 115,113.12 and 57,967.22 is: 79,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.84 : 115,113.12 = 57,967.22 : x
  2. Step 2: Convert to fraction form
    83,460.84/115,113.12 = 57,967.22/x
  3. Step 3: Cross multiply
    83,460.84x = 115,113.12 × 57,967.22
  4. Step 4: Simplify right side
    83,460.84x = 6,672,787,551.93
  5. Step 5: Solve for x
    x = 6,672,787,551.93/83,460.84
  6. Step 6: Final answer
    x = 79,951.12

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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.