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Finding the Fourth Proportional to 61,464.66, 84,823.50 and 34,243.20

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Solution

The fourth proportional to 61,464.66, 84,823.50 and 34,243.20 is: 47,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.66 : 84,823.50 = 34,243.20 : x
  2. Step 2: Convert to fraction form
    61,464.66/84,823.50 = 34,243.20/x
  3. Step 3: Cross multiply
    61,464.66x = 84,823.50 × 34,243.20
  4. Step 4: Simplify right side
    61,464.66x = 2,904,628,075.20
  5. Step 5: Solve for x
    x = 2,904,628,075.20/61,464.66
  6. Step 6: Final answer
    x = 47,256.88

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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.