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Finding the Fourth Proportional to 52,807.40, 79,208.22 and 17,743.40

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Solution

The fourth proportional to 52,807.40, 79,208.22 and 17,743.40 is: 26,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807.40 : 79,208.22 = 17,743.40 : x
  2. Step 2: Convert to fraction form
    52,807.40/79,208.22 = 17,743.40/x
  3. Step 3: Cross multiply
    52,807.40x = 79,208.22 × 17,743.40
  4. Step 4: Simplify right side
    52,807.40x = 1,405,423,130.75
  5. Step 5: Solve for x
    x = 1,405,423,130.75/52,807.40
  6. Step 6: Final answer
    x = 26,614.13

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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.