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Finding the Fourth Proportional to 67,483.86, 101,215.40 and 22,506

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Solution

The fourth proportional to 67,483.86, 101,215.40 and 22,506 is: 33,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,483.86 : 101,215.40 = 22,506 : x
  2. Step 2: Convert to fraction form
    67,483.86/101,215.40 = 22,506/x
  3. Step 3: Cross multiply
    67,483.86x = 101,215.40 × 22,506
  4. Step 4: Simplify right side
    67,483.86x = 2,277,953,792.40
  5. Step 5: Solve for x
    x = 2,277,953,792.40/67,483.86
  6. Step 6: Final answer
    x = 33,755.53

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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.