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Finding the Fourth Proportional to 70,182.96, 105,288.38 and 22,810.08

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Solution

The fourth proportional to 70,182.96, 105,288.38 and 22,810.08 is: 34,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182.96 : 105,288.38 = 22,810.08 : x
  2. Step 2: Convert to fraction form
    70,182.96/105,288.38 = 22,810.08/x
  3. Step 3: Cross multiply
    70,182.96x = 105,288.38 × 22,810.08
  4. Step 4: Simplify right side
    70,182.96x = 2,401,636,370.87
  5. Step 5: Solve for x
    x = 2,401,636,370.87/70,182.96
  6. Step 6: Final answer
    x = 34,219.65

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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.