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Finding the Fourth Proportional to 32,846.16, 49,288.76 and 12,071.12

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Solution

The fourth proportional to 32,846.16, 49,288.76 and 12,071.12 is: 18,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.16 : 49,288.76 = 12,071.12 : x
  2. Step 2: Convert to fraction form
    32,846.16/49,288.76 = 12,071.12/x
  3. Step 3: Cross multiply
    32,846.16x = 49,288.76 × 12,071.12
  4. Step 4: Simplify right side
    32,846.16x = 594,970,536.61
  5. Step 5: Solve for x
    x = 594,970,536.61/32,846.16
  6. Step 6: Final answer
    x = 18,113.85

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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.