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Finding the Fourth Proportional to 30,362.52, 41,903.82 and 17,787

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Solution

The fourth proportional to 30,362.52, 41,903.82 and 17,787 is: 24,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.52 : 41,903.82 = 17,787 : x
  2. Step 2: Convert to fraction form
    30,362.52/41,903.82 = 17,787/x
  3. Step 3: Cross multiply
    30,362.52x = 41,903.82 × 17,787
  4. Step 4: Simplify right side
    30,362.52x = 745,343,246.34
  5. Step 5: Solve for x
    x = 745,343,246.34/30,362.52
  6. Step 6: Final answer
    x = 24,548.14

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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.