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Finding the Fourth Proportional to 35,886, 53,790.40 and 34,229.96

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Solution

The fourth proportional to 35,886, 53,790.40 and 34,229.96 is: 51,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886 : 53,790.40 = 34,229.96 : x
  2. Step 2: Convert to fraction form
    35,886/53,790.40 = 34,229.96/x
  3. Step 3: Cross multiply
    35,886x = 53,790.40 × 34,229.96
  4. Step 4: Simplify right side
    35,886x = 1,841,243,240.38
  5. Step 5: Solve for x
    x = 1,841,243,240.38/35,886
  6. Step 6: Final answer
    x = 51,308.12

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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.