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Finding the Fourth Proportional to 69,064.34, 103,594.08 and 22,316

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Solution

The fourth proportional to 69,064.34, 103,594.08 and 22,316 is: 33,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,064.34 : 103,594.08 = 22,316 : x
  2. Step 2: Convert to fraction form
    69,064.34/103,594.08 = 22,316/x
  3. Step 3: Cross multiply
    69,064.34x = 103,594.08 × 22,316
  4. Step 4: Simplify right side
    69,064.34x = 2,311,805,489.28
  5. Step 5: Solve for x
    x = 2,311,805,489.28/69,064.34
  6. Step 6: Final answer
    x = 33,473.21

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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.