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Finding the Fourth Proportional to 44,314, 61,157.64 and 24,442

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Solution

The fourth proportional to 44,314, 61,157.64 and 24,442 is: 33,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,314 : 61,157.64 = 24,442 : x
  2. Step 2: Convert to fraction form
    44,314/61,157.64 = 24,442/x
  3. Step 3: Cross multiply
    44,314x = 61,157.64 × 24,442
  4. Step 4: Simplify right side
    44,314x = 1,494,815,036.88
  5. Step 5: Solve for x
    x = 1,494,815,036.88/44,314
  6. Step 6: Final answer
    x = 33,732.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.