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Finding the Fourth Proportional to 83,238.17, 114,866.93 and 45,512.42

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Solution

The fourth proportional to 83,238.17, 114,866.93 and 45,512.42 is: 62,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.17 : 114,866.93 = 45,512.42 : x
  2. Step 2: Convert to fraction form
    83,238.17/114,866.93 = 45,512.42/x
  3. Step 3: Cross multiply
    83,238.17x = 114,866.93 × 45,512.42
  4. Step 4: Simplify right side
    83,238.17x = 5,227,871,160.37
  5. Step 5: Solve for x
    x = 5,227,871,160.37/83,238.17
  6. Step 6: Final answer
    x = 62,806.18

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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.