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Finding the Fourth Proportional to 31,907.48, 47,866.41 and 10,849.41

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Solution

The fourth proportional to 31,907.48, 47,866.41 and 10,849.41 is: 16,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.48 : 47,866.41 = 10,849.41 : x
  2. Step 2: Convert to fraction form
    31,907.48/47,866.41 = 10,849.41/x
  3. Step 3: Cross multiply
    31,907.48x = 47,866.41 × 10,849.41
  4. Step 4: Simplify right side
    31,907.48x = 519,322,307.32
  5. Step 5: Solve for x
    x = 519,322,307.32/31,907.48
  6. Step 6: Final answer
    x = 16,275.88

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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.