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Finding the Fourth Proportional to 31,100.86, 46,649.87 and 10,041.87

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Solution

The fourth proportional to 31,100.86, 46,649.87 and 10,041.87 is: 15,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.86 : 46,649.87 = 10,041.87 : x
  2. Step 2: Convert to fraction form
    31,100.86/46,649.87 = 10,041.87/x
  3. Step 3: Cross multiply
    31,100.86x = 46,649.87 × 10,041.87
  4. Step 4: Simplify right side
    31,100.86x = 468,451,917.50
  5. Step 5: Solve for x
    x = 468,451,917.50/31,100.86
  6. Step 6: Final answer
    x = 15,062.35

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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.