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Finding the Fourth Proportional to 32,574.64, 48,869.92 and 10,388.02

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Solution

The fourth proportional to 32,574.64, 48,869.92 and 10,388.02 is: 15,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.64 : 48,869.92 = 10,388.02 : x
  2. Step 2: Convert to fraction form
    32,574.64/48,869.92 = 10,388.02/x
  3. Step 3: Cross multiply
    32,574.64x = 48,869.92 × 10,388.02
  4. Step 4: Simplify right side
    32,574.64x = 507,661,706.36
  5. Step 5: Solve for x
    x = 507,661,706.36/32,574.64
  6. Step 6: Final answer
    x = 15,584.57

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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.