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Finding the Fourth Proportional to 31,875.73, 47,776.64 and 28,185.17

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Solution

The fourth proportional to 31,875.73, 47,776.64 and 28,185.17 is: 42,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.73 : 47,776.64 = 28,185.17 : x
  2. Step 2: Convert to fraction form
    31,875.73/47,776.64 = 28,185.17/x
  3. Step 3: Cross multiply
    31,875.73x = 47,776.64 × 28,185.17
  4. Step 4: Simplify right side
    31,875.73x = 1,346,592,340.62
  5. Step 5: Solve for x
    x = 1,346,592,340.62/31,875.73
  6. Step 6: Final answer
    x = 42,245.07

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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.