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Finding the Fourth Proportional to 32,019.49, 48,018.30 and 9,524.17

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Solution

The fourth proportional to 32,019.49, 48,018.30 and 9,524.17 is: 14,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.49 : 48,018.30 = 9,524.17 : x
  2. Step 2: Convert to fraction form
    32,019.49/48,018.30 = 9,524.17/x
  3. Step 3: Cross multiply
    32,019.49x = 48,018.30 × 9,524.17
  4. Step 4: Simplify right side
    32,019.49x = 457,334,452.31
  5. Step 5: Solve for x
    x = 457,334,452.31/32,019.49
  6. Step 6: Final answer
    x = 14,283.00

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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.