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Finding the Fourth Proportional to 44,478, 61,379.64 and 24,606

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Solution

The fourth proportional to 44,478, 61,379.64 and 24,606 is: 33,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,478 : 61,379.64 = 24,606 : x
  2. Step 2: Convert to fraction form
    44,478/61,379.64 = 24,606/x
  3. Step 3: Cross multiply
    44,478x = 61,379.64 × 24,606
  4. Step 4: Simplify right side
    44,478x = 1,510,307,421.84
  5. Step 5: Solve for x
    x = 1,510,307,421.84/44,478
  6. Step 6: Final answer
    x = 33,956.28

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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.