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Finding the Fourth Proportional to 32,802.47, 49,199.80 and 19,301.71

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Solution

The fourth proportional to 32,802.47, 49,199.80 and 19,301.71 is: 28,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.47 : 49,199.80 = 19,301.71 : x
  2. Step 2: Convert to fraction form
    32,802.47/49,199.80 = 19,301.71/x
  3. Step 3: Cross multiply
    32,802.47x = 49,199.80 × 19,301.71
  4. Step 4: Simplify right side
    32,802.47x = 949,640,174.56
  5. Step 5: Solve for x
    x = 949,640,174.56/32,802.47
  6. Step 6: Final answer
    x = 28,950.27

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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.