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Finding the Fourth Proportional to 83,692.22, 115,495.25 and 45,966.47

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Solution

The fourth proportional to 83,692.22, 115,495.25 and 45,966.47 is: 63,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.22 : 115,495.25 = 45,966.47 : x
  2. Step 2: Convert to fraction form
    83,692.22/115,495.25 = 45,966.47/x
  3. Step 3: Cross multiply
    83,692.22x = 115,495.25 × 45,966.47
  4. Step 4: Simplify right side
    83,692.22x = 5,308,908,366.79
  5. Step 5: Solve for x
    x = 5,308,908,366.79/83,692.22
  6. Step 6: Final answer
    x = 63,433.72

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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.