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Finding the Fourth Proportional to 83,073, 114,692.58 and 53,316.84

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Solution

The fourth proportional to 83,073, 114,692.58 and 53,316.84 is: 73,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073 : 114,692.58 = 53,316.84 : x
  2. Step 2: Convert to fraction form
    83,073/114,692.58 = 53,316.84/x
  3. Step 3: Cross multiply
    83,073x = 114,692.58 × 53,316.84
  4. Step 4: Simplify right side
    83,073x = 6,115,045,937.05
  5. Step 5: Solve for x
    x = 6,115,045,937.05/83,073
  6. Step 6: Final answer
    x = 73,610.51

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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.