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Finding the Fourth Proportional to 32,650, 48,985.98 and 13,929.28

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Solution

The fourth proportional to 32,650, 48,985.98 and 13,929.28 is: 20,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650 : 48,985.98 = 13,929.28 : x
  2. Step 2: Convert to fraction form
    32,650/48,985.98 = 13,929.28/x
  3. Step 3: Cross multiply
    32,650x = 48,985.98 × 13,929.28
  4. Step 4: Simplify right side
    32,650x = 682,339,431.49
  5. Step 5: Solve for x
    x = 682,339,431.49/32,650
  6. Step 6: Final answer
    x = 20,898.60

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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.