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Finding the Fourth Proportional to 30,223.80, 45,335.70 and 19,726.20

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Solution

The fourth proportional to 30,223.80, 45,335.70 and 19,726.20 is: 29,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.80 : 45,335.70 = 19,726.20 : x
  2. Step 2: Convert to fraction form
    30,223.80/45,335.70 = 19,726.20/x
  3. Step 3: Cross multiply
    30,223.80x = 45,335.70 × 19,726.20
  4. Step 4: Simplify right side
    30,223.80x = 894,301,085.34
  5. Step 5: Solve for x
    x = 894,301,085.34/30,223.80
  6. Step 6: Final answer
    x = 29,589.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.