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Finding the Fourth Proportional to 46,781, 70,176.22 and 15,189.74

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Solution

The fourth proportional to 46,781, 70,176.22 and 15,189.74 is: 22,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,781 : 70,176.22 = 15,189.74 : x
  2. Step 2: Convert to fraction form
    46,781/70,176.22 = 15,189.74/x
  3. Step 3: Cross multiply
    46,781x = 70,176.22 × 15,189.74
  4. Step 4: Simplify right side
    46,781x = 1,065,958,535.98
  5. Step 5: Solve for x
    x = 1,065,958,535.98/46,781
  6. Step 6: Final answer
    x = 22,786.14

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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.