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Finding the Fourth Proportional to 30,833.76, 42,550.58 and 17,405.13

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Solution

The fourth proportional to 30,833.76, 42,550.58 and 17,405.13 is: 24,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.76 : 42,550.58 = 17,405.13 : x
  2. Step 2: Convert to fraction form
    30,833.76/42,550.58 = 17,405.13/x
  3. Step 3: Cross multiply
    30,833.76x = 42,550.58 × 17,405.13
  4. Step 4: Simplify right side
    30,833.76x = 740,598,449.01
  5. Step 5: Solve for x
    x = 740,598,449.01/30,833.76
  6. Step 6: Final answer
    x = 24,019.07

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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.