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Finding the Fourth Proportional to 31,309.58, 46,853.50 and 19,468.92

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Solution

The fourth proportional to 31,309.58, 46,853.50 and 19,468.92 is: 29,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.58 : 46,853.50 = 19,468.92 : x
  2. Step 2: Convert to fraction form
    31,309.58/46,853.50 = 19,468.92/x
  3. Step 3: Cross multiply
    31,309.58x = 46,853.50 × 19,468.92
  4. Step 4: Simplify right side
    31,309.58x = 912,187,194.58
  5. Step 5: Solve for x
    x = 912,187,194.58/31,309.58
  6. Step 6: Final answer
    x = 29,134.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.