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Finding the Fourth Proportional to 69,084.40, 103,624.08 and 22,336

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Solution

The fourth proportional to 69,084.40, 103,624.08 and 22,336 is: 33,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,084.40 : 103,624.08 = 22,336 : x
  2. Step 2: Convert to fraction form
    69,084.40/103,624.08 = 22,336/x
  3. Step 3: Cross multiply
    69,084.40x = 103,624.08 × 22,336
  4. Step 4: Simplify right side
    69,084.40x = 2,314,547,450.88
  5. Step 5: Solve for x
    x = 2,314,547,450.88/69,084.40
  6. Step 6: Final answer
    x = 33,503.19

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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.