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Finding the Fourth Proportional to 42,342.71, 58,429.76 and 23,219.42

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Solution

The fourth proportional to 42,342.71, 58,429.76 and 23,219.42 is: 32,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.71 : 58,429.76 = 23,219.42 : x
  2. Step 2: Convert to fraction form
    42,342.71/58,429.76 = 23,219.42/x
  3. Step 3: Cross multiply
    42,342.71x = 58,429.76 × 23,219.42
  4. Step 4: Simplify right side
    42,342.71x = 1,356,704,729.69
  5. Step 5: Solve for x
    x = 1,356,704,729.69/42,342.71
  6. Step 6: Final answer
    x = 32,041.05

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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.