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Finding the Fourth Proportional to 66,971.66, 100,458.08 and 17,051.82

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Solution

The fourth proportional to 66,971.66, 100,458.08 and 17,051.82 is: 25,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971.66 : 100,458.08 = 17,051.82 : x
  2. Step 2: Convert to fraction form
    66,971.66/100,458.08 = 17,051.82/x
  3. Step 3: Cross multiply
    66,971.66x = 100,458.08 × 17,051.82
  4. Step 4: Simplify right side
    66,971.66x = 1,712,993,097.71
  5. Step 5: Solve for x
    x = 1,712,993,097.71/66,971.66
  6. Step 6: Final answer
    x = 25,577.88

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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.