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Finding the Fourth Proportional to 69,164.28, 103,762.77 and 22,417.14

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Solution

The fourth proportional to 69,164.28, 103,762.77 and 22,417.14 is: 33,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,164.28 : 103,762.77 = 22,417.14 : x
  2. Step 2: Convert to fraction form
    69,164.28/103,762.77 = 22,417.14/x
  3. Step 3: Cross multiply
    69,164.28x = 103,762.77 × 22,417.14
  4. Step 4: Simplify right side
    69,164.28x = 2,326,064,541.88
  5. Step 5: Solve for x
    x = 2,326,064,541.88/69,164.28
  6. Step 6: Final answer
    x = 33,631.01

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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.