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Finding the Fourth Proportional to 61,465.68, 92,214.38 and 33,378.53

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Solution

The fourth proportional to 61,465.68, 92,214.38 and 33,378.53 is: 50,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465.68 : 92,214.38 = 33,378.53 : x
  2. Step 2: Convert to fraction form
    61,465.68/92,214.38 = 33,378.53/x
  3. Step 3: Cross multiply
    61,465.68x = 92,214.38 × 33,378.53
  4. Step 4: Simplify right side
    61,465.68x = 3,077,979,821.30
  5. Step 5: Solve for x
    x = 3,077,979,821.30/61,465.68
  6. Step 6: Final answer
    x = 50,076.40

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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.