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Finding the Fourth Proportional to 65,297.86, 97,854.40 and 27,820.19

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Solution

The fourth proportional to 65,297.86, 97,854.40 and 27,820.19 is: 41,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297.86 : 97,854.40 = 27,820.19 : x
  2. Step 2: Convert to fraction form
    65,297.86/97,854.40 = 27,820.19/x
  3. Step 3: Cross multiply
    65,297.86x = 97,854.40 × 27,820.19
  4. Step 4: Simplify right side
    65,297.86x = 2,722,328,279.75
  5. Step 5: Solve for x
    x = 2,722,328,279.75/65,297.86
  6. Step 6: Final answer
    x = 41,690.93

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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.