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Finding the Fourth Proportional to 30,406.32, 42,039 and 23,356.08

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Solution

The fourth proportional to 30,406.32, 42,039 and 23,356.08 is: 32,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.32 : 42,039 = 23,356.08 : x
  2. Step 2: Convert to fraction form
    30,406.32/42,039 = 23,356.08/x
  3. Step 3: Cross multiply
    30,406.32x = 42,039 × 23,356.08
  4. Step 4: Simplify right side
    30,406.32x = 981,866,247.12
  5. Step 5: Solve for x
    x = 981,866,247.12/30,406.32
  6. Step 6: Final answer
    x = 32,291.52

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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.