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Finding the Fourth Proportional to 70,592.98, 97,419.88 and 38,762

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Solution

The fourth proportional to 70,592.98, 97,419.88 and 38,762 is: 53,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,592.98 : 97,419.88 = 38,762 : x
  2. Step 2: Convert to fraction form
    70,592.98/97,419.88 = 38,762/x
  3. Step 3: Cross multiply
    70,592.98x = 97,419.88 × 38,762
  4. Step 4: Simplify right side
    70,592.98x = 3,776,189,388.56
  5. Step 5: Solve for x
    x = 3,776,189,388.56/70,592.98
  6. Step 6: Final answer
    x = 53,492.42

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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.