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Finding the Fourth Proportional to 61,038.24, 84,223.04 and 34,181.88

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Solution

The fourth proportional to 61,038.24, 84,223.04 and 34,181.88 is: 47,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,038.24 : 84,223.04 = 34,181.88 : x
  2. Step 2: Convert to fraction form
    61,038.24/84,223.04 = 34,181.88/x
  3. Step 3: Cross multiply
    61,038.24x = 84,223.04 × 34,181.88
  4. Step 4: Simplify right side
    61,038.24x = 2,878,901,846.52
  5. Step 5: Solve for x
    x = 2,878,901,846.52/61,038.24
  6. Step 6: Final answer
    x = 47,165.54

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