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Finding the Fourth Proportional to 31,029.76, 46,505.76 and 15,451.84

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Solution

The fourth proportional to 31,029.76, 46,505.76 and 15,451.84 is: 23,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.76 : 46,505.76 = 15,451.84 : x
  2. Step 2: Convert to fraction form
    31,029.76/46,505.76 = 15,451.84/x
  3. Step 3: Cross multiply
    31,029.76x = 46,505.76 × 15,451.84
  4. Step 4: Simplify right side
    31,029.76x = 718,599,562.60
  5. Step 5: Solve for x
    x = 718,599,562.60/31,029.76
  6. Step 6: Final answer
    x = 23,158.40

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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.