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Finding the Fourth Proportional to 32,044.94, 48,072.87 and 9,857.82

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Solution

The fourth proportional to 32,044.94, 48,072.87 and 9,857.82 is: 14,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.94 : 48,072.87 = 9,857.82 : x
  2. Step 2: Convert to fraction form
    32,044.94/48,072.87 = 9,857.82/x
  3. Step 3: Cross multiply
    32,044.94x = 48,072.87 × 9,857.82
  4. Step 4: Simplify right side
    32,044.94x = 473,893,699.34
  5. Step 5: Solve for x
    x = 473,893,699.34/32,044.94
  6. Step 6: Final answer
    x = 14,788.41

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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.