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Finding the Fourth Proportional to 70,657.38, 97,507.96 and 38,826.28

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Solution

The fourth proportional to 70,657.38, 97,507.96 and 38,826.28 is: 53,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.38 : 97,507.96 = 38,826.28 : x
  2. Step 2: Convert to fraction form
    70,657.38/97,507.96 = 38,826.28/x
  3. Step 3: Cross multiply
    70,657.38x = 97,507.96 × 38,826.28
  4. Step 4: Simplify right side
    70,657.38x = 3,785,871,357.19
  5. Step 5: Solve for x
    x = 3,785,871,357.19/70,657.38
  6. Step 6: Final answer
    x = 53,580.69

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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.