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Finding the Fourth Proportional to 32,044.46, 48,068 and 10,998.96

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Solution

The fourth proportional to 32,044.46, 48,068 and 10,998.96 is: 16,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.46 : 48,068 = 10,998.96 : x
  2. Step 2: Convert to fraction form
    32,044.46/48,068 = 10,998.96/x
  3. Step 3: Cross multiply
    32,044.46x = 48,068 × 10,998.96
  4. Step 4: Simplify right side
    32,044.46x = 528,698,009.28
  5. Step 5: Solve for x
    x = 528,698,009.28/32,044.46
  6. Step 6: Final answer
    x = 16,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.