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Finding the Fourth Proportional to 71,405.48, 98,540.40 and 39,575

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Solution

The fourth proportional to 71,405.48, 98,540.40 and 39,575 is: 54,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.48 : 98,540.40 = 39,575 : x
  2. Step 2: Convert to fraction form
    71,405.48/98,540.40 = 39,575/x
  3. Step 3: Cross multiply
    71,405.48x = 98,540.40 × 39,575
  4. Step 4: Simplify right side
    71,405.48x = 3,899,736,330
  5. Step 5: Solve for x
    x = 3,899,736,330/71,405.48
  6. Step 6: Final answer
    x = 54,613.96

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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.