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Finding the Fourth Proportional to 30,866.52, 42,595 and 17,439.16

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Solution

The fourth proportional to 30,866.52, 42,595 and 17,439.16 is: 24,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.52 : 42,595 = 17,439.16 : x
  2. Step 2: Convert to fraction form
    30,866.52/42,595 = 17,439.16/x
  3. Step 3: Cross multiply
    30,866.52x = 42,595 × 17,439.16
  4. Step 4: Simplify right side
    30,866.52x = 742,821,020.20
  5. Step 5: Solve for x
    x = 742,821,020.20/30,866.52
  6. Step 6: Final answer
    x = 24,065.59

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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.