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Finding the Fourth Proportional to 94,114, 141,166.94 and 23,991.22

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Solution

The fourth proportional to 94,114, 141,166.94 and 23,991.22 is: 35,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,114 : 141,166.94 = 23,991.22 : x
  2. Step 2: Convert to fraction form
    94,114/141,166.94 = 23,991.22/x
  3. Step 3: Cross multiply
    94,114x = 141,166.94 × 23,991.22
  4. Step 4: Simplify right side
    94,114x = 3,386,767,114.27
  5. Step 5: Solve for x
    x = 3,386,767,114.27/94,114
  6. Step 6: Final answer
    x = 35,985.80

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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.