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Finding the Fourth Proportional to 42,188, 58,214.40 and 23,322.56

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Solution

The fourth proportional to 42,188, 58,214.40 and 23,322.56 is: 32,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,188 : 58,214.40 = 23,322.56 : x
  2. Step 2: Convert to fraction form
    42,188/58,214.40 = 23,322.56/x
  3. Step 3: Cross multiply
    42,188x = 58,214.40 × 23,322.56
  4. Step 4: Simplify right side
    42,188x = 1,357,708,836.86
  5. Step 5: Solve for x
    x = 1,357,708,836.86/42,188
  6. Step 6: Final answer
    x = 32,182.35

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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.