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Finding the Fourth Proportional to 100,570.38, 138,810 and 66,580.14

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Solution

The fourth proportional to 100,570.38, 138,810 and 66,580.14 is: 91,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.38 : 138,810 = 66,580.14 : x
  2. Step 2: Convert to fraction form
    100,570.38/138,810 = 66,580.14/x
  3. Step 3: Cross multiply
    100,570.38x = 138,810 × 66,580.14
  4. Step 4: Simplify right side
    100,570.38x = 9,241,989,233.40
  5. Step 5: Solve for x
    x = 9,241,989,233.40/100,570.38
  6. Step 6: Final answer
    x = 91,895.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.