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Finding the Fourth Proportional to 75,143.90, 103,712.22 and 42,883.22

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Solution

The fourth proportional to 75,143.90, 103,712.22 and 42,883.22 is: 59,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.90 : 103,712.22 = 42,883.22 : x
  2. Step 2: Convert to fraction form
    75,143.90/103,712.22 = 42,883.22/x
  3. Step 3: Cross multiply
    75,143.90x = 103,712.22 × 42,883.22
  4. Step 4: Simplify right side
    75,143.90x = 4,447,513,946.95
  5. Step 5: Solve for x
    x = 4,447,513,946.95/75,143.90
  6. Step 6: Final answer
    x = 59,186.63

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