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Finding the Fourth Proportional to 30,835.52, 42,557.36 and 17,412.16

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Solution

The fourth proportional to 30,835.52, 42,557.36 and 17,412.16 is: 24,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.52 : 42,557.36 = 17,412.16 : x
  2. Step 2: Convert to fraction form
    30,835.52/42,557.36 = 17,412.16/x
  3. Step 3: Cross multiply
    30,835.52x = 42,557.36 × 17,412.16
  4. Step 4: Simplify right side
    30,835.52x = 741,015,561.50
  5. Step 5: Solve for x
    x = 741,015,561.50/30,835.52
  6. Step 6: Final answer
    x = 24,031.23

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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.