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Finding the Fourth Proportional to 35,141.74, 52,712.88 and 11,770

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Solution

The fourth proportional to 35,141.74, 52,712.88 and 11,770 is: 17,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.74 : 52,712.88 = 11,770 : x
  2. Step 2: Convert to fraction form
    35,141.74/52,712.88 = 11,770/x
  3. Step 3: Cross multiply
    35,141.74x = 52,712.88 × 11,770
  4. Step 4: Simplify right side
    35,141.74x = 620,430,597.60
  5. Step 5: Solve for x
    x = 620,430,597.60/35,141.74
  6. Step 6: Final answer
    x = 17,655.09

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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.