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Finding the Fourth Proportional to 97,378.16, 146,070.88 and 27,255.64

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Solution

The fourth proportional to 97,378.16, 146,070.88 and 27,255.64 is: 40,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,378.16 : 146,070.88 = 27,255.64 : x
  2. Step 2: Convert to fraction form
    97,378.16/146,070.88 = 27,255.64/x
  3. Step 3: Cross multiply
    97,378.16x = 146,070.88 × 27,255.64
  4. Step 4: Simplify right side
    97,378.16x = 3,981,255,319.76
  5. Step 5: Solve for x
    x = 3,981,255,319.76/97,378.16
  6. Step 6: Final answer
    x = 40,884.48

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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.