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Finding the Fourth Proportional to 64,902.38, 89,565.28 and 35,094.38

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Solution

The fourth proportional to 64,902.38, 89,565.28 and 35,094.38 is: 48,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.38 : 89,565.28 = 35,094.38 : x
  2. Step 2: Convert to fraction form
    64,902.38/89,565.28 = 35,094.38/x
  3. Step 3: Cross multiply
    64,902.38x = 89,565.28 × 35,094.38
  4. Step 4: Simplify right side
    64,902.38x = 3,143,237,435.56
  5. Step 5: Solve for x
    x = 3,143,237,435.56/64,902.38
  6. Step 6: Final answer
    x = 48,430.24

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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.