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Finding the Fourth Proportional to 30,782.32, 42,470.16 and 18,833.20

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Solution

The fourth proportional to 30,782.32, 42,470.16 and 18,833.20 is: 25,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.32 : 42,470.16 = 18,833.20 : x
  2. Step 2: Convert to fraction form
    30,782.32/42,470.16 = 18,833.20/x
  3. Step 3: Cross multiply
    30,782.32x = 42,470.16 × 18,833.20
  4. Step 4: Simplify right side
    30,782.32x = 799,849,017.31
  5. Step 5: Solve for x
    x = 799,849,017.31/30,782.32
  6. Step 6: Final answer
    x = 25,984.04

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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.