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Finding the Fourth Proportional to 34,356.30, 47,410.74 and 20,210.10

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Solution

The fourth proportional to 34,356.30, 47,410.74 and 20,210.10 is: 27,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.30 : 47,410.74 = 20,210.10 : x
  2. Step 2: Convert to fraction form
    34,356.30/47,410.74 = 20,210.10/x
  3. Step 3: Cross multiply
    34,356.30x = 47,410.74 × 20,210.10
  4. Step 4: Simplify right side
    34,356.30x = 958,175,796.47
  5. Step 5: Solve for x
    x = 958,175,796.47/34,356.30
  6. Step 6: Final answer
    x = 27,889.38

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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.