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Finding the Fourth Proportional to 31,042.86, 46,575.54 and 19,182.80

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Solution

The fourth proportional to 31,042.86, 46,575.54 and 19,182.80 is: 28,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.86 : 46,575.54 = 19,182.80 : x
  2. Step 2: Convert to fraction form
    31,042.86/46,575.54 = 19,182.80/x
  3. Step 3: Cross multiply
    31,042.86x = 46,575.54 × 19,182.80
  4. Step 4: Simplify right side
    31,042.86x = 893,449,268.71
  5. Step 5: Solve for x
    x = 893,449,268.71/31,042.86
  6. Step 6: Final answer
    x = 28,781.15

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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.