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Finding the Fourth Proportional to 97,770.38, 134,923.11 and 53,058.38

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Solution

The fourth proportional to 97,770.38, 134,923.11 and 53,058.38 is: 73,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,770.38 : 134,923.11 = 53,058.38 : x
  2. Step 2: Convert to fraction form
    97,770.38/134,923.11 = 53,058.38/x
  3. Step 3: Cross multiply
    97,770.38x = 134,923.11 × 53,058.38
  4. Step 4: Simplify right side
    97,770.38x = 7,158,801,641.16
  5. Step 5: Solve for x
    x = 7,158,801,641.16/97,770.38
  6. Step 6: Final answer
    x = 73,220.56

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1.5x scale

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.