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Finding the Fourth Proportional to 38,297.68, 57,463.80 and 19,566.16

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Solution

The fourth proportional to 38,297.68, 57,463.80 and 19,566.16 is: 29,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.68 : 57,463.80 = 19,566.16 : x
  2. Step 2: Convert to fraction form
    38,297.68/57,463.80 = 19,566.16/x
  3. Step 3: Cross multiply
    38,297.68x = 57,463.80 × 19,566.16
  4. Step 4: Simplify right side
    38,297.68x = 1,124,345,905.01
  5. Step 5: Solve for x
    x = 1,124,345,905.01/38,297.68
  6. Step 6: Final answer
    x = 29,358.07

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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.