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Finding the Fourth Proportional to 31,176.86, 46,760.62 and 10,118.68

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Solution

The fourth proportional to 31,176.86, 46,760.62 and 10,118.68 is: 15,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.86 : 46,760.62 = 10,118.68 : x
  2. Step 2: Convert to fraction form
    31,176.86/46,760.62 = 10,118.68/x
  3. Step 3: Cross multiply
    31,176.86x = 46,760.62 × 10,118.68
  4. Step 4: Simplify right side
    31,176.86x = 473,155,750.38
  5. Step 5: Solve for x
    x = 473,155,750.38/31,176.86
  6. Step 6: Final answer
    x = 15,176.50

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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.