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Finding the Fourth Proportional to 70,338.38, 97,068.66 and 38,507.18

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Solution

The fourth proportional to 70,338.38, 97,068.66 and 38,507.18 is: 53,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.38 : 97,068.66 = 38,507.18 : x
  2. Step 2: Convert to fraction form
    70,338.38/97,068.66 = 38,507.18/x
  3. Step 3: Cross multiply
    70,338.38x = 97,068.66 × 38,507.18
  4. Step 4: Simplify right side
    70,338.38x = 3,737,840,362.98
  5. Step 5: Solve for x
    x = 3,737,840,362.98/70,338.38
  6. Step 6: Final answer
    x = 53,140.84

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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.