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Finding the Fourth Proportional to 64,886.38, 89,543.20 and 35,078.38

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Solution

The fourth proportional to 64,886.38, 89,543.20 and 35,078.38 is: 48,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,886.38 : 89,543.20 = 35,078.38 : x
  2. Step 2: Convert to fraction form
    64,886.38/89,543.20 = 35,078.38/x
  3. Step 3: Cross multiply
    64,886.38x = 89,543.20 × 35,078.38
  4. Step 4: Simplify right side
    64,886.38x = 3,141,030,396.02
  5. Step 5: Solve for x
    x = 3,141,030,396.02/64,886.38
  6. Step 6: Final answer
    x = 48,408.16

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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.