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Finding the Fourth Proportional to 30,875.50, 46,239.25 and 15,843.06

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Solution

The fourth proportional to 30,875.50, 46,239.25 and 15,843.06 is: 23,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.50 : 46,239.25 = 15,843.06 : x
  2. Step 2: Convert to fraction form
    30,875.50/46,239.25 = 15,843.06/x
  3. Step 3: Cross multiply
    30,875.50x = 46,239.25 × 15,843.06
  4. Step 4: Simplify right side
    30,875.50x = 732,571,132.89
  5. Step 5: Solve for x
    x = 732,571,132.89/30,875.50
  6. Step 6: Final answer
    x = 23,726.62

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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.