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Finding the Fourth Proportional to 65,396.20, 97,835.10 and 56,727.40

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Solution

The fourth proportional to 65,396.20, 97,835.10 and 56,727.40 is: 84,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.20 : 97,835.10 = 56,727.40 : x
  2. Step 2: Convert to fraction form
    65,396.20/97,835.10 = 56,727.40/x
  3. Step 3: Cross multiply
    65,396.20x = 97,835.10 × 56,727.40
  4. Step 4: Simplify right side
    65,396.20x = 5,549,930,851.74
  5. Step 5: Solve for x
    x = 5,549,930,851.74/65,396.20
  6. Step 6: Final answer
    x = 84,866.26

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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.