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Finding the Fourth Proportional to 57,980.22, 86,964.86 and 18,526.74

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Solution

The fourth proportional to 57,980.22, 86,964.86 and 18,526.74 is: 27,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980.22 : 86,964.86 = 18,526.74 : x
  2. Step 2: Convert to fraction form
    57,980.22/86,964.86 = 18,526.74/x
  3. Step 3: Cross multiply
    57,980.22x = 86,964.86 × 18,526.74
  4. Step 4: Simplify right side
    57,980.22x = 1,611,175,127.72
  5. Step 5: Solve for x
    x = 1,611,175,127.72/57,980.22
  6. Step 6: Final answer
    x = 27,788.36

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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.