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Finding the Fourth Proportional to 51,883.79, 77,700.91 and 29,629.72

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Solution

The fourth proportional to 51,883.79, 77,700.91 and 29,629.72 is: 44,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.79 : 77,700.91 = 29,629.72 : x
  2. Step 2: Convert to fraction form
    51,883.79/77,700.91 = 29,629.72/x
  3. Step 3: Cross multiply
    51,883.79x = 77,700.91 × 29,629.72
  4. Step 4: Simplify right side
    51,883.79x = 2,302,256,207.05
  5. Step 5: Solve for x
    x = 2,302,256,207.05/51,883.79
  6. Step 6: Final answer
    x = 44,373.32

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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.