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Finding the Fourth Proportional to 42,170.83, 58,194.02 and 24,266.47

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Solution

The fourth proportional to 42,170.83, 58,194.02 and 24,266.47 is: 33,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,170.83 : 58,194.02 = 24,266.47 : x
  2. Step 2: Convert to fraction form
    42,170.83/58,194.02 = 24,266.47/x
  3. Step 3: Cross multiply
    42,170.83x = 58,194.02 × 24,266.47
  4. Step 4: Simplify right side
    42,170.83x = 1,412,163,642.06
  5. Step 5: Solve for x
    x = 1,412,163,642.06/42,170.83
  6. Step 6: Final answer
    x = 33,486.74

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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.