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Finding the Fourth Proportional to 56,656, 84,985.80 and 17,213.46

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Solution

The fourth proportional to 56,656, 84,985.80 and 17,213.46 is: 25,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,656 : 84,985.80 = 17,213.46 : x
  2. Step 2: Convert to fraction form
    56,656/84,985.80 = 17,213.46/x
  3. Step 3: Cross multiply
    56,656x = 84,985.80 × 17,213.46
  4. Step 4: Simplify right side
    56,656x = 1,462,899,668.87
  5. Step 5: Solve for x
    x = 1,462,899,668.87/56,656
  6. Step 6: Final answer
    x = 25,820.74

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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.