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Finding the Fourth Proportional to 70,623, 97,461.96 and 38,793

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Solution

The fourth proportional to 70,623, 97,461.96 and 38,793 is: 53,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,623 : 97,461.96 = 38,793 : x
  2. Step 2: Convert to fraction form
    70,623/97,461.96 = 38,793/x
  3. Step 3: Cross multiply
    70,623x = 97,461.96 × 38,793
  4. Step 4: Simplify right side
    70,623x = 3,780,841,814.28
  5. Step 5: Solve for x
    x = 3,780,841,814.28/70,623
  6. Step 6: Final answer
    x = 53,535.56

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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.