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Finding the Fourth Proportional to 70,714.14, 97,588 and 38,885.46

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Solution

The fourth proportional to 70,714.14, 97,588 and 38,885.46 is: 53,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.14 : 97,588 = 38,885.46 : x
  2. Step 2: Convert to fraction form
    70,714.14/97,588 = 38,885.46/x
  3. Step 3: Cross multiply
    70,714.14x = 97,588 × 38,885.46
  4. Step 4: Simplify right side
    70,714.14x = 3,794,754,270.48
  5. Step 5: Solve for x
    x = 3,794,754,270.48/70,714.14
  6. Step 6: Final answer
    x = 53,663.30

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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.