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Finding the Fourth Proportional to 51,503.74, 77,305.54 and 24,868.50

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Solution

The fourth proportional to 51,503.74, 77,305.54 and 24,868.50 is: 37,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.74 : 77,305.54 = 24,868.50 : x
  2. Step 2: Convert to fraction form
    51,503.74/77,305.54 = 24,868.50/x
  3. Step 3: Cross multiply
    51,503.74x = 77,305.54 × 24,868.50
  4. Step 4: Simplify right side
    51,503.74x = 1,922,472,821.49
  5. Step 5: Solve for x
    x = 1,922,472,821.49/51,503.74
  6. Step 6: Final answer
    x = 37,326.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.