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Finding the Fourth Proportional to 31,643.75, 47,442.18 and 19,160.84

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Solution

The fourth proportional to 31,643.75, 47,442.18 and 19,160.84 is: 28,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.75 : 47,442.18 = 19,160.84 : x
  2. Step 2: Convert to fraction form
    31,643.75/47,442.18 = 19,160.84/x
  3. Step 3: Cross multiply
    31,643.75x = 47,442.18 × 19,160.84
  4. Step 4: Simplify right side
    31,643.75x = 909,031,783.02
  5. Step 5: Solve for x
    x = 909,031,783.02/31,643.75
  6. Step 6: Final answer
    x = 28,727.06

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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.