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Finding the Fourth Proportional to 41,411.98, 57,140.91 and 24,421.63

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Solution

The fourth proportional to 41,411.98, 57,140.91 and 24,421.63 is: 33,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411.98 : 57,140.91 = 24,421.63 : x
  2. Step 2: Convert to fraction form
    41,411.98/57,140.91 = 24,421.63/x
  3. Step 3: Cross multiply
    41,411.98x = 57,140.91 × 24,421.63
  4. Step 4: Simplify right side
    41,411.98x = 1,395,473,754.07
  5. Step 5: Solve for x
    x = 1,395,473,754.07/41,411.98
  6. Step 6: Final answer
    x = 33,697.34

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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.