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Finding the Fourth Proportional to 71,904, 99,228.16 and 42,096.64

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Solution

The fourth proportional to 71,904, 99,228.16 and 42,096.64 is: 58,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,904 : 99,228.16 = 42,096.64 : x
  2. Step 2: Convert to fraction form
    71,904/99,228.16 = 42,096.64/x
  3. Step 3: Cross multiply
    71,904x = 99,228.16 × 42,096.64
  4. Step 4: Simplify right side
    71,904x = 4,177,172,129.38
  5. Step 5: Solve for x
    x = 4,177,172,129.38/71,904
  6. Step 6: Final answer
    x = 58,093.74

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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.