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Finding the Fourth Proportional to 34,927.74, 48,268.71 and 31,039.74

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Solution

The fourth proportional to 34,927.74, 48,268.71 and 31,039.74 is: 42,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,927.74 : 48,268.71 = 31,039.74 : x
  2. Step 2: Convert to fraction form
    34,927.74/48,268.71 = 31,039.74/x
  3. Step 3: Cross multiply
    34,927.74x = 48,268.71 × 31,039.74
  4. Step 4: Simplify right side
    34,927.74x = 1,498,248,208.54
  5. Step 5: Solve for x
    x = 1,498,248,208.54/34,927.74
  6. Step 6: Final answer
    x = 42,895.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.