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Finding the Fourth Proportional to 32,868, 49,313.52 and 14,401.44

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Solution

The fourth proportional to 32,868, 49,313.52 and 14,401.44 is: 21,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868 : 49,313.52 = 14,401.44 : x
  2. Step 2: Convert to fraction form
    32,868/49,313.52 = 14,401.44/x
  3. Step 3: Cross multiply
    32,868x = 49,313.52 × 14,401.44
  4. Step 4: Simplify right side
    32,868x = 710,185,699.47
  5. Step 5: Solve for x
    x = 710,185,699.47/32,868
  6. Step 6: Final answer
    x = 21,607.21

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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.