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Finding the Fourth Proportional to 70,314.38, 97,033.90 and 38,484.08

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Solution

The fourth proportional to 70,314.38, 97,033.90 and 38,484.08 is: 53,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314.38 : 97,033.90 = 38,484.08 : x
  2. Step 2: Convert to fraction form
    70,314.38/97,033.90 = 38,484.08/x
  3. Step 3: Cross multiply
    70,314.38x = 97,033.90 × 38,484.08
  4. Step 4: Simplify right side
    70,314.38x = 3,734,260,370.31
  5. Step 5: Solve for x
    x = 3,734,260,370.31/70,314.38
  6. Step 6: Final answer
    x = 53,108.06

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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.