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Finding the Fourth Proportional to 30,712.71, 42,389.34 and 19,232.96

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Solution

The fourth proportional to 30,712.71, 42,389.34 and 19,232.96 is: 26,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.71 : 42,389.34 = 19,232.96 : x
  2. Step 2: Convert to fraction form
    30,712.71/42,389.34 = 19,232.96/x
  3. Step 3: Cross multiply
    30,712.71x = 42,389.34 × 19,232.96
  4. Step 4: Simplify right side
    30,712.71x = 815,272,268.70
  5. Step 5: Solve for x
    x = 815,272,268.70/30,712.71
  6. Step 6: Final answer
    x = 26,545.11

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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.