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Finding the Fourth Proportional to 65,111.80, 97,667.70 and 57,894.70

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Solution

The fourth proportional to 65,111.80, 97,667.70 and 57,894.70 is: 86,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.80 : 97,667.70 = 57,894.70 : x
  2. Step 2: Convert to fraction form
    65,111.80/97,667.70 = 57,894.70/x
  3. Step 3: Cross multiply
    65,111.80x = 97,667.70 × 57,894.70
  4. Step 4: Simplify right side
    65,111.80x = 5,654,442,191.19
  5. Step 5: Solve for x
    x = 5,654,442,191.19/65,111.80
  6. Step 6: Final answer
    x = 86,842.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.