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Finding the Fourth Proportional to 70,512.96, 97,309.43 and 38,681.87

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Solution

The fourth proportional to 70,512.96, 97,309.43 and 38,681.87 is: 53,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.96 : 97,309.43 = 38,681.87 : x
  2. Step 2: Convert to fraction form
    70,512.96/97,309.43 = 38,681.87/x
  3. Step 3: Cross multiply
    70,512.96x = 97,309.43 × 38,681.87
  4. Step 4: Simplify right side
    70,512.96x = 3,764,110,041.08
  5. Step 5: Solve for x
    x = 3,764,110,041.08/70,512.96
  6. Step 6: Final answer
    x = 53,381.82

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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.