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Finding the Fourth Proportional to 77,951.20, 116,946 and 22,552.80

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Solution

The fourth proportional to 77,951.20, 116,946 and 22,552.80 is: 33,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.20 : 116,946 = 22,552.80 : x
  2. Step 2: Convert to fraction form
    77,951.20/116,946 = 22,552.80/x
  3. Step 3: Cross multiply
    77,951.20x = 116,946 × 22,552.80
  4. Step 4: Simplify right side
    77,951.20x = 2,637,459,748.80
  5. Step 5: Solve for x
    x = 2,637,459,748.80/77,951.20
  6. Step 6: Final answer
    x = 33,834.75

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1.5x scale

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.