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Finding the Fourth Proportional to 29,778, 44,444.20 and 29,285.94

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Solution

The fourth proportional to 29,778, 44,444.20 and 29,285.94 is: 43,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778 : 44,444.20 = 29,285.94 : x
  2. Step 2: Convert to fraction form
    29,778/44,444.20 = 29,285.94/x
  3. Step 3: Cross multiply
    29,778x = 44,444.20 × 29,285.94
  4. Step 4: Simplify right side
    29,778x = 1,301,590,174.55
  5. Step 5: Solve for x
    x = 1,301,590,174.55/29,778
  6. Step 6: Final answer
    x = 43,709.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.