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Finding the Fourth Proportional to 83,692.84, 115,495.04 and 45,964.66

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Solution

The fourth proportional to 83,692.84, 115,495.04 and 45,964.66 is: 63,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.84 : 115,495.04 = 45,964.66 : x
  2. Step 2: Convert to fraction form
    83,692.84/115,495.04 = 45,964.66/x
  3. Step 3: Cross multiply
    83,692.84x = 115,495.04 × 45,964.66
  4. Step 4: Simplify right side
    83,692.84x = 5,308,690,245.29
  5. Step 5: Solve for x
    x = 5,308,690,245.29/83,692.84
  6. Step 6: Final answer
    x = 63,430.64

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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.