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Finding the Fourth Proportional to 30,881.59, 42,600.13 and 18,785.77

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Solution

The fourth proportional to 30,881.59, 42,600.13 and 18,785.77 is: 25,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.59 : 42,600.13 = 18,785.77 : x
  2. Step 2: Convert to fraction form
    30,881.59/42,600.13 = 18,785.77/x
  3. Step 3: Cross multiply
    30,881.59x = 42,600.13 × 18,785.77
  4. Step 4: Simplify right side
    30,881.59x = 800,276,330.31
  5. Step 5: Solve for x
    x = 800,276,330.31/30,881.59
  6. Step 6: Final answer
    x = 25,914.35

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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.