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Finding the Fourth Proportional to 103,343.07, 142,602.42 and 58,026

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Solution

The fourth proportional to 103,343.07, 142,602.42 and 58,026 is: 80,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,343.07 : 142,602.42 = 58,026 : x
  2. Step 2: Convert to fraction form
    103,343.07/142,602.42 = 58,026/x
  3. Step 3: Cross multiply
    103,343.07x = 142,602.42 × 58,026
  4. Step 4: Simplify right side
    103,343.07x = 8,274,648,022.92
  5. Step 5: Solve for x
    x = 8,274,648,022.92/103,343.07
  6. Step 6: Final answer
    x = 80,069.69

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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.