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Finding the Fourth Proportional to 52,594.64, 78,892.65 and 17,534.30

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Solution

The fourth proportional to 52,594.64, 78,892.65 and 17,534.30 is: 26,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.64 : 78,892.65 = 17,534.30 : x
  2. Step 2: Convert to fraction form
    52,594.64/78,892.65 = 17,534.30/x
  3. Step 3: Cross multiply
    52,594.64x = 78,892.65 × 17,534.30
  4. Step 4: Simplify right side
    52,594.64x = 1,383,327,590.13
  5. Step 5: Solve for x
    x = 1,383,327,590.13/52,594.64
  6. Step 6: Final answer
    x = 26,301.69

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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.