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Finding the Fourth Proportional to 42,421, 58,540.98 and 24,757

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Solution

The fourth proportional to 42,421, 58,540.98 and 24,757 is: 34,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,421 : 58,540.98 = 24,757 : x
  2. Step 2: Convert to fraction form
    42,421/58,540.98 = 24,757/x
  3. Step 3: Cross multiply
    42,421x = 58,540.98 × 24,757
  4. Step 4: Simplify right side
    42,421x = 1,449,299,041.86
  5. Step 5: Solve for x
    x = 1,449,299,041.86/42,421
  6. Step 6: Final answer
    x = 34,164.66

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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.