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Finding the Fourth Proportional to 32,801.70, 49,214.70 and 10,615.80

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Solution

The fourth proportional to 32,801.70, 49,214.70 and 10,615.80 is: 15,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.70 : 49,214.70 = 10,615.80 : x
  2. Step 2: Convert to fraction form
    32,801.70/49,214.70 = 10,615.80/x
  3. Step 3: Cross multiply
    32,801.70x = 49,214.70 × 10,615.80
  4. Step 4: Simplify right side
    32,801.70x = 522,453,412.26
  5. Step 5: Solve for x
    x = 522,453,412.26/32,801.70
  6. Step 6: Final answer
    x = 15,927.63

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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.