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Finding the Fourth Proportional to 30,223.53, 45,337.52 and 8,036.82

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Solution

The fourth proportional to 30,223.53, 45,337.52 and 8,036.82 is: 12,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.53 : 45,337.52 = 8,036.82 : x
  2. Step 2: Convert to fraction form
    30,223.53/45,337.52 = 8,036.82/x
  3. Step 3: Cross multiply
    30,223.53x = 45,337.52 × 8,036.82
  4. Step 4: Simplify right side
    30,223.53x = 364,369,507.58
  5. Step 5: Solve for x
    x = 364,369,507.58/30,223.53
  6. Step 6: Final answer
    x = 12,055.82

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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.