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Finding the Fourth Proportional to 65,111.80, 97,667.70 and 57,854.20

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Solution

The fourth proportional to 65,111.80, 97,667.70 and 57,854.20 is: 86,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.80 : 97,667.70 = 57,854.20 : x
  2. Step 2: Convert to fraction form
    65,111.80/97,667.70 = 57,854.20/x
  3. Step 3: Cross multiply
    65,111.80x = 97,667.70 × 57,854.20
  4. Step 4: Simplify right side
    65,111.80x = 5,650,486,649.34
  5. Step 5: Solve for x
    x = 5,650,486,649.34/65,111.80
  6. Step 6: Final answer
    x = 86,781.30

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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.