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Finding the Fourth Proportional to 61,142.30, 84,340.54 and 38,445.32

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Solution

The fourth proportional to 61,142.30, 84,340.54 and 38,445.32 is: 53,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.30 : 84,340.54 = 38,445.32 : x
  2. Step 2: Convert to fraction form
    61,142.30/84,340.54 = 38,445.32/x
  3. Step 3: Cross multiply
    61,142.30x = 84,340.54 × 38,445.32
  4. Step 4: Simplify right side
    61,142.30x = 3,242,499,049.27
  5. Step 5: Solve for x
    x = 3,242,499,049.27/61,142.30
  6. Step 6: Final answer
    x = 53,032.01

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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.