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Finding the Fourth Proportional to 66,971.76, 100,460.16 and 17,053.02

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Solution

The fourth proportional to 66,971.76, 100,460.16 and 17,053.02 is: 25,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971.76 : 100,460.16 = 17,053.02 : x
  2. Step 2: Convert to fraction form
    66,971.76/100,460.16 = 17,053.02/x
  3. Step 3: Cross multiply
    66,971.76x = 100,460.16 × 17,053.02
  4. Step 4: Simplify right side
    66,971.76x = 1,713,149,117.68
  5. Step 5: Solve for x
    x = 1,713,149,117.68/66,971.76
  6. Step 6: Final answer
    x = 25,580.17

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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.