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Finding the Fourth Proportional to 61,896.36, 85,419.02 and 35,038.31

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Solution

The fourth proportional to 61,896.36, 85,419.02 and 35,038.31 is: 48,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,896.36 : 85,419.02 = 35,038.31 : x
  2. Step 2: Convert to fraction form
    61,896.36/85,419.02 = 35,038.31/x
  3. Step 3: Cross multiply
    61,896.36x = 85,419.02 × 35,038.31
  4. Step 4: Simplify right side
    61,896.36x = 2,992,938,102.66
  5. Step 5: Solve for x
    x = 2,992,938,102.66/61,896.36
  6. Step 6: Final answer
    x = 48,354.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.