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Finding the Fourth Proportional to 97,714.60, 146,506.20 and 38,519.80

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Solution

The fourth proportional to 97,714.60, 146,506.20 and 38,519.80 is: 57,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.60 : 146,506.20 = 38,519.80 : x
  2. Step 2: Convert to fraction form
    97,714.60/146,506.20 = 38,519.80/x
  3. Step 3: Cross multiply
    97,714.60x = 146,506.20 × 38,519.80
  4. Step 4: Simplify right side
    97,714.60x = 5,643,389,522.76
  5. Step 5: Solve for x
    x = 5,643,389,522.76/97,714.60
  6. Step 6: Final answer
    x = 57,753.80

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1.5x scale

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.