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Finding the Fourth Proportional to 70,502.27, 97,299.29 and 38,677.32

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Solution

The fourth proportional to 70,502.27, 97,299.29 and 38,677.32 is: 53,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.27 : 97,299.29 = 38,677.32 : x
  2. Step 2: Convert to fraction form
    70,502.27/97,299.29 = 38,677.32/x
  3. Step 3: Cross multiply
    70,502.27x = 97,299.29 × 38,677.32
  4. Step 4: Simplify right side
    70,502.27x = 3,763,275,982.28
  5. Step 5: Solve for x
    x = 3,763,275,982.28/70,502.27
  6. Step 6: Final answer
    x = 53,378.08

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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.