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Finding the Fourth Proportional to 60,230, 83,117.40 and 33,734

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Solution

The fourth proportional to 60,230, 83,117.40 and 33,734 is: 46,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,230 : 83,117.40 = 33,734 : x
  2. Step 2: Convert to fraction form
    60,230/83,117.40 = 33,734/x
  3. Step 3: Cross multiply
    60,230x = 83,117.40 × 33,734
  4. Step 4: Simplify right side
    60,230x = 2,803,882,371.60
  5. Step 5: Solve for x
    x = 2,803,882,371.60/60,230
  6. Step 6: Final answer
    x = 46,552.92

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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.