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Finding the Fourth Proportional to 31,298.38, 46,947.63 and 7,605.95

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Solution

The fourth proportional to 31,298.38, 46,947.63 and 7,605.95 is: 11,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.38 : 46,947.63 = 7,605.95 : x
  2. Step 2: Convert to fraction form
    31,298.38/46,947.63 = 7,605.95/x
  3. Step 3: Cross multiply
    31,298.38x = 46,947.63 × 7,605.95
  4. Step 4: Simplify right side
    31,298.38x = 357,081,053.63
  5. Step 5: Solve for x
    x = 357,081,053.63/31,298.38
  6. Step 6: Final answer
    x = 11,408.93

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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.