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Finding the Fourth Proportional to 97,910.85, 135,085.06 and 57,065.65

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Solution

The fourth proportional to 97,910.85, 135,085.06 and 57,065.65 is: 78,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,910.85 : 135,085.06 = 57,065.65 : x
  2. Step 2: Convert to fraction form
    97,910.85/135,085.06 = 57,065.65/x
  3. Step 3: Cross multiply
    97,910.85x = 135,085.06 × 57,065.65
  4. Step 4: Simplify right side
    97,910.85x = 7,708,716,994.38
  5. Step 5: Solve for x
    x = 7,708,716,994.38/97,910.85
  6. Step 6: Final answer
    x = 78,732.00

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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.