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Finding the Fourth Proportional to 83,873.14, 115,747.70 and 48,070.01

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Solution

The fourth proportional to 83,873.14, 115,747.70 and 48,070.01 is: 66,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.14 : 115,747.70 = 48,070.01 : x
  2. Step 2: Convert to fraction form
    83,873.14/115,747.70 = 48,070.01/x
  3. Step 3: Cross multiply
    83,873.14x = 115,747.70 × 48,070.01
  4. Step 4: Simplify right side
    83,873.14x = 5,563,993,145.50
  5. Step 5: Solve for x
    x = 5,563,993,145.50/83,873.14
  6. Step 6: Final answer
    x = 66,338.20

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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.