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Finding the Fourth Proportional to 52,809.90, 79,214.77 and 17,774.16

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Solution

The fourth proportional to 52,809.90, 79,214.77 and 17,774.16 is: 26,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.90 : 79,214.77 = 17,774.16 : x
  2. Step 2: Convert to fraction form
    52,809.90/79,214.77 = 17,774.16/x
  3. Step 3: Cross multiply
    52,809.90x = 79,214.77 × 17,774.16
  4. Step 4: Simplify right side
    52,809.90x = 1,407,975,996.34
  5. Step 5: Solve for x
    x = 1,407,975,996.34/52,809.90
  6. Step 6: Final answer
    x = 26,661.21

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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.