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Finding the Fourth Proportional to 75,402.92, 113,106 and 22,812.32

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Solution

The fourth proportional to 75,402.92, 113,106 and 22,812.32 is: 34,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402.92 : 113,106 = 22,812.32 : x
  2. Step 2: Convert to fraction form
    75,402.92/113,106 = 22,812.32/x
  3. Step 3: Cross multiply
    75,402.92x = 113,106 × 22,812.32
  4. Step 4: Simplify right side
    75,402.92x = 2,580,210,265.92
  5. Step 5: Solve for x
    x = 2,580,210,265.92/75,402.92
  6. Step 6: Final answer
    x = 34,218.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.