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Finding the Fourth Proportional to 32,875.79, 49,299.10 and 20,395.31

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Solution

The fourth proportional to 32,875.79, 49,299.10 and 20,395.31 is: 30,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.79 : 49,299.10 = 20,395.31 : x
  2. Step 2: Convert to fraction form
    32,875.79/49,299.10 = 20,395.31/x
  3. Step 3: Cross multiply
    32,875.79x = 49,299.10 × 20,395.31
  4. Step 4: Simplify right side
    32,875.79x = 1,005,470,427.22
  5. Step 5: Solve for x
    x = 1,005,470,427.22/32,875.79
  6. Step 6: Final answer
    x = 30,583.92

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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.