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Finding the Fourth Proportional to 30,917.47, 42,706.15 and 22,867.48

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Solution

The fourth proportional to 30,917.47, 42,706.15 and 22,867.48 is: 31,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.47 : 42,706.15 = 22,867.48 : x
  2. Step 2: Convert to fraction form
    30,917.47/42,706.15 = 22,867.48/x
  3. Step 3: Cross multiply
    30,917.47x = 42,706.15 × 22,867.48
  4. Step 4: Simplify right side
    30,917.47x = 976,582,031.00
  5. Step 5: Solve for x
    x = 976,582,031.00/30,917.47
  6. Step 6: Final answer
    x = 31,586.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.