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Finding the Fourth Proportional to 70,299.44, 97,013.12 and 38,468.32

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Solution

The fourth proportional to 70,299.44, 97,013.12 and 38,468.32 is: 53,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,299.44 : 97,013.12 = 38,468.32 : x
  2. Step 2: Convert to fraction form
    70,299.44/97,013.12 = 38,468.32/x
  3. Step 3: Cross multiply
    70,299.44x = 97,013.12 × 38,468.32
  4. Step 4: Simplify right side
    70,299.44x = 3,731,931,744.36
  5. Step 5: Solve for x
    x = 3,731,931,744.36/70,299.44
  6. Step 6: Final answer
    x = 53,086.22

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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.