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Finding the Fourth Proportional to 65,712.61, 98,536.87 and 32,421.61

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Solution

The fourth proportional to 65,712.61, 98,536.87 and 32,421.61 is: 48,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.61 : 98,536.87 = 32,421.61 : x
  2. Step 2: Convert to fraction form
    65,712.61/98,536.87 = 32,421.61/x
  3. Step 3: Cross multiply
    65,712.61x = 98,536.87 × 32,421.61
  4. Step 4: Simplify right side
    65,712.61x = 3,194,723,969.76
  5. Step 5: Solve for x
    x = 3,194,723,969.76/65,712.61
  6. Step 6: Final answer
    x = 48,616.60

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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.