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Finding the Fourth Proportional to 22,740.78, 31,373.78 and 22,705.74

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Solution

The fourth proportional to 22,740.78, 31,373.78 and 22,705.74 is: 31,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.78 : 31,373.78 = 22,705.74 : x
  2. Step 2: Convert to fraction form
    22,740.78/31,373.78 = 22,705.74/x
  3. Step 3: Cross multiply
    22,740.78x = 31,373.78 × 22,705.74
  4. Step 4: Simplify right side
    22,740.78x = 712,364,891.50
  5. Step 5: Solve for x
    x = 712,364,891.50/22,740.78
  6. Step 6: Final answer
    x = 31,325.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.