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Finding the Fourth Proportional to 31,235.61, 46,843.65 and 10,454.25

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Solution

The fourth proportional to 31,235.61, 46,843.65 and 10,454.25 is: 15,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.61 : 46,843.65 = 10,454.25 : x
  2. Step 2: Convert to fraction form
    31,235.61/46,843.65 = 10,454.25/x
  3. Step 3: Cross multiply
    31,235.61x = 46,843.65 × 10,454.25
  4. Step 4: Simplify right side
    31,235.61x = 489,715,228.01
  5. Step 5: Solve for x
    x = 489,715,228.01/31,235.61
  6. Step 6: Final answer
    x = 15,678.11

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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.