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Finding the Fourth Proportional to 30,521.40, 45,782.10 and 25,337.40

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Solution

The fourth proportional to 30,521.40, 45,782.10 and 25,337.40 is: 38,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.40 : 45,782.10 = 25,337.40 : x
  2. Step 2: Convert to fraction form
    30,521.40/45,782.10 = 25,337.40/x
  3. Step 3: Cross multiply
    30,521.40x = 45,782.10 × 25,337.40
  4. Step 4: Simplify right side
    30,521.40x = 1,159,999,380.54
  5. Step 5: Solve for x
    x = 1,159,999,380.54/30,521.40
  6. Step 6: Final answer
    x = 38,006.10

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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.