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Finding the Fourth Proportional to 30,781.51, 42,478.39 and 16,634.35

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Solution

The fourth proportional to 30,781.51, 42,478.39 and 16,634.35 is: 22,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.51 : 42,478.39 = 16,634.35 : x
  2. Step 2: Convert to fraction form
    30,781.51/42,478.39 = 16,634.35/x
  3. Step 3: Cross multiply
    30,781.51x = 42,478.39 × 16,634.35
  4. Step 4: Simplify right side
    30,781.51x = 706,600,406.70
  5. Step 5: Solve for x
    x = 706,600,406.70/30,781.51
  6. Step 6: Final answer
    x = 22,955.35

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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.