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Finding the Fourth Proportional to 70,642.10, 105,897.27 and 23,862.26

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Solution

The fourth proportional to 70,642.10, 105,897.27 and 23,862.26 is: 35,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.10 : 105,897.27 = 23,862.26 : x
  2. Step 2: Convert to fraction form
    70,642.10/105,897.27 = 23,862.26/x
  3. Step 3: Cross multiply
    70,642.10x = 105,897.27 × 23,862.26
  4. Step 4: Simplify right side
    70,642.10x = 2,526,948,190.03
  5. Step 5: Solve for x
    x = 2,526,948,190.03/70,642.10
  6. Step 6: Final answer
    x = 35,771.14

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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.