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Finding the Fourth Proportional to 65,578, 98,341.08 and 32,273.68

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Solution

The fourth proportional to 65,578, 98,341.08 and 32,273.68 is: 48,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578 : 98,341.08 = 32,273.68 : x
  2. Step 2: Convert to fraction form
    65,578/98,341.08 = 32,273.68/x
  3. Step 3: Cross multiply
    65,578x = 98,341.08 × 32,273.68
  4. Step 4: Simplify right side
    65,578x = 3,173,828,546.77
  5. Step 5: Solve for x
    x = 3,173,828,546.77/65,578
  6. Step 6: Final answer
    x = 48,397.76

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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.