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Finding the Fourth Proportional to 30,881.34, 42,600.53 and 19,531.76

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Solution

The fourth proportional to 30,881.34, 42,600.53 and 19,531.76 is: 26,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.34 : 42,600.53 = 19,531.76 : x
  2. Step 2: Convert to fraction form
    30,881.34/42,600.53 = 19,531.76/x
  3. Step 3: Cross multiply
    30,881.34x = 42,600.53 × 19,531.76
  4. Step 4: Simplify right side
    30,881.34x = 832,063,163.66
  5. Step 5: Solve for x
    x = 832,063,163.66/30,881.34
  6. Step 6: Final answer
    x = 26,943.88

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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.