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Finding the Fourth Proportional to 51,653.76, 77,476.80 and 29,397.28

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Solution

The fourth proportional to 51,653.76, 77,476.80 and 29,397.28 is: 44,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653.76 : 77,476.80 = 29,397.28 : x
  2. Step 2: Convert to fraction form
    51,653.76/77,476.80 = 29,397.28/x
  3. Step 3: Cross multiply
    51,653.76x = 77,476.80 × 29,397.28
  4. Step 4: Simplify right side
    51,653.76x = 2,277,607,183.10
  5. Step 5: Solve for x
    x = 2,277,607,183.10/51,653.76
  6. Step 6: Final answer
    x = 44,093.73

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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.