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Finding the Fourth Proportional to 35,877.78, 53,844.76 and 24,861.78

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Solution

The fourth proportional to 35,877.78, 53,844.76 and 24,861.78 is: 37,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877.78 : 53,844.76 = 24,861.78 : x
  2. Step 2: Convert to fraction form
    35,877.78/53,844.76 = 24,861.78/x
  3. Step 3: Cross multiply
    35,877.78x = 53,844.76 × 24,861.78
  4. Step 4: Simplify right side
    35,877.78x = 1,338,676,577.27
  5. Step 5: Solve for x
    x = 1,338,676,577.27/35,877.78
  6. Step 6: Final answer
    x = 37,312.14

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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.