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Finding the Fourth Proportional to 52,952.26, 79,410.78 and 21,354.16

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Solution

The fourth proportional to 52,952.26, 79,410.78 and 21,354.16 is: 32,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.26 : 79,410.78 = 21,354.16 : x
  2. Step 2: Convert to fraction form
    52,952.26/79,410.78 = 21,354.16/x
  3. Step 3: Cross multiply
    52,952.26x = 79,410.78 × 21,354.16
  4. Step 4: Simplify right side
    52,952.26x = 1,695,750,501.84
  5. Step 5: Solve for x
    x = 1,695,750,501.84/52,952.26
  6. Step 6: Final answer
    x = 32,024.14

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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.