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Finding the Fourth Proportional to 71,152.30, 98,186.38 and 39,319.30

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Solution

The fourth proportional to 71,152.30, 98,186.38 and 39,319.30 is: 54,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.30 : 98,186.38 = 39,319.30 : x
  2. Step 2: Convert to fraction form
    71,152.30/98,186.38 = 39,319.30/x
  3. Step 3: Cross multiply
    71,152.30x = 98,186.38 × 39,319.30
  4. Step 4: Simplify right side
    71,152.30x = 3,860,619,731.13
  5. Step 5: Solve for x
    x = 3,860,619,731.13/71,152.30
  6. Step 6: Final answer
    x = 54,258.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.