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Finding the Fourth Proportional to 71,682.80, 98,925.76 and 39,851

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Solution

The fourth proportional to 71,682.80, 98,925.76 and 39,851 is: 54,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.80 : 98,925.76 = 39,851 : x
  2. Step 2: Convert to fraction form
    71,682.80/98,925.76 = 39,851/x
  3. Step 3: Cross multiply
    71,682.80x = 98,925.76 × 39,851
  4. Step 4: Simplify right side
    71,682.80x = 3,942,290,461.76
  5. Step 5: Solve for x
    x = 3,942,290,461.76/71,682.80
  6. Step 6: Final answer
    x = 54,996.32

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1.5x scale

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.