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Finding the Fourth Proportional to 77,476.32, 116,218.80 and 22,068

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Solution

The fourth proportional to 77,476.32, 116,218.80 and 22,068 is: 33,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.32 : 116,218.80 = 22,068 : x
  2. Step 2: Convert to fraction form
    77,476.32/116,218.80 = 22,068/x
  3. Step 3: Cross multiply
    77,476.32x = 116,218.80 × 22,068
  4. Step 4: Simplify right side
    77,476.32x = 2,564,716,478.40
  5. Step 5: Solve for x
    x = 2,564,716,478.40/77,476.32
  6. Step 6: Final answer
    x = 33,103.23

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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.