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Finding the Fourth Proportional to 32,722.16, 49,044.36 and 18,842

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Solution

The fourth proportional to 32,722.16, 49,044.36 and 18,842 is: 28,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.16 : 49,044.36 = 18,842 : x
  2. Step 2: Convert to fraction form
    32,722.16/49,044.36 = 18,842/x
  3. Step 3: Cross multiply
    32,722.16x = 49,044.36 × 18,842
  4. Step 4: Simplify right side
    32,722.16x = 924,093,831.12
  5. Step 5: Solve for x
    x = 924,093,831.12/32,722.16
  6. Step 6: Final answer
    x = 28,240.61

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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.