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Finding the Fourth Proportional to 22,712.70, 31,823.70 and 22,712.70

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Solution

The fourth proportional to 22,712.70, 31,823.70 and 22,712.70 is: 31,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.70 : 31,823.70 = 22,712.70 : x
  2. Step 2: Convert to fraction form
    22,712.70/31,823.70 = 22,712.70/x
  3. Step 3: Cross multiply
    22,712.70x = 31,823.70 × 22,712.70
  4. Step 4: Simplify right side
    22,712.70x = 722,802,150.99
  5. Step 5: Solve for x
    x = 722,802,150.99/22,712.70
  6. Step 6: Final answer
    x = 31,823.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.