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Finding the Fourth Proportional to 72,319.38, 99,814.56 and 42,109.34

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Solution

The fourth proportional to 72,319.38, 99,814.56 and 42,109.34 is: 58,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319.38 : 99,814.56 = 42,109.34 : x
  2. Step 2: Convert to fraction form
    72,319.38/99,814.56 = 42,109.34/x
  3. Step 3: Cross multiply
    72,319.38x = 99,814.56 × 42,109.34
  4. Step 4: Simplify right side
    72,319.38x = 4,203,125,243.99
  5. Step 5: Solve for x
    x = 4,203,125,243.99/72,319.38
  6. Step 6: Final answer
    x = 58,118.93

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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.