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Finding the Fourth Proportional to 71,152.50, 98,182.08 and 39,319.50

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Solution

The fourth proportional to 71,152.50, 98,182.08 and 39,319.50 is: 54,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.50 : 98,182.08 = 39,319.50 : x
  2. Step 2: Convert to fraction form
    71,152.50/98,182.08 = 39,319.50/x
  3. Step 3: Cross multiply
    71,152.50x = 98,182.08 × 39,319.50
  4. Step 4: Simplify right side
    71,152.50x = 3,860,470,294.56
  5. Step 5: Solve for x
    x = 3,860,470,294.56/71,152.50
  6. Step 6: Final answer
    x = 54,256.28

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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.