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Finding the Fourth Proportional to 70,301.26, 105,465.26 and 25,931.49

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Solution

The fourth proportional to 70,301.26, 105,465.26 and 25,931.49 is: 38,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.26 : 105,465.26 = 25,931.49 : x
  2. Step 2: Convert to fraction form
    70,301.26/105,465.26 = 25,931.49/x
  3. Step 3: Cross multiply
    70,301.26x = 105,465.26 × 25,931.49
  4. Step 4: Simplify right side
    70,301.26x = 2,734,871,335.04
  5. Step 5: Solve for x
    x = 2,734,871,335.04/70,301.26
  6. Step 6: Final answer
    x = 38,902.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.