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Finding the Fourth Proportional to 38,614.80, 53,290.50 and 23,505.06

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Solution

The fourth proportional to 38,614.80, 53,290.50 and 23,505.06 is: 32,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.80 : 53,290.50 = 23,505.06 : x
  2. Step 2: Convert to fraction form
    38,614.80/53,290.50 = 23,505.06/x
  3. Step 3: Cross multiply
    38,614.80x = 53,290.50 × 23,505.06
  4. Step 4: Simplify right side
    38,614.80x = 1,252,596,399.93
  5. Step 5: Solve for x
    x = 1,252,596,399.93/38,614.80
  6. Step 6: Final answer
    x = 32,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.