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Finding the Fourth Proportional to 35,196.38, 48,559.12 and 20,078.40

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Solution

The fourth proportional to 35,196.38, 48,559.12 and 20,078.40 is: 27,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,196.38 : 48,559.12 = 20,078.40 : x
  2. Step 2: Convert to fraction form
    35,196.38/48,559.12 = 20,078.40/x
  3. Step 3: Cross multiply
    35,196.38x = 48,559.12 × 20,078.40
  4. Step 4: Simplify right side
    35,196.38x = 974,989,293.76
  5. Step 5: Solve for x
    x = 974,989,293.76/35,196.38
  6. Step 6: Final answer
    x = 27,701.41

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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.