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Finding the Fourth Proportional to 61,202.38, 84,454.32 and 34,341.16

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Solution

The fourth proportional to 61,202.38, 84,454.32 and 34,341.16 is: 47,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202.38 : 84,454.32 = 34,341.16 : x
  2. Step 2: Convert to fraction form
    61,202.38/84,454.32 = 34,341.16/x
  3. Step 3: Cross multiply
    61,202.38x = 84,454.32 × 34,341.16
  4. Step 4: Simplify right side
    61,202.38x = 2,900,259,315.81
  5. Step 5: Solve for x
    x = 2,900,259,315.81/61,202.38
  6. Step 6: Final answer
    x = 47,388.02

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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.