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Finding the Fourth Proportional to 60,246, 83,139.48 and 33,750

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Solution

The fourth proportional to 60,246, 83,139.48 and 33,750 is: 46,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,246 : 83,139.48 = 33,750 : x
  2. Step 2: Convert to fraction form
    60,246/83,139.48 = 33,750/x
  3. Step 3: Cross multiply
    60,246x = 83,139.48 × 33,750
  4. Step 4: Simplify right side
    60,246x = 2,805,957,450
  5. Step 5: Solve for x
    x = 2,805,957,450/60,246
  6. Step 6: Final answer
    x = 46,575

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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.