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Finding the Fourth Proportional to 30,524.74, 42,125.22 and 17,097.22

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Solution

The fourth proportional to 30,524.74, 42,125.22 and 17,097.22 is: 23,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.74 : 42,125.22 = 17,097.22 : x
  2. Step 2: Convert to fraction form
    30,524.74/42,125.22 = 17,097.22/x
  3. Step 3: Cross multiply
    30,524.74x = 42,125.22 × 17,097.22
  4. Step 4: Simplify right side
    30,524.74x = 720,224,153.89
  5. Step 5: Solve for x
    x = 720,224,153.89/30,524.74
  6. Step 6: Final answer
    x = 23,594.77

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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.