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Finding the Fourth Proportional to 30,165, 41,627.70 and 17,587.32

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Solution

The fourth proportional to 30,165, 41,627.70 and 17,587.32 is: 24,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 41,627.70 = 17,587.32 : x
  2. Step 2: Convert to fraction form
    30,165/41,627.70 = 17,587.32/x
  3. Step 3: Cross multiply
    30,165x = 41,627.70 × 17,587.32
  4. Step 4: Simplify right side
    30,165x = 732,119,680.76
  5. Step 5: Solve for x
    x = 732,119,680.76/30,165
  6. Step 6: Final answer
    x = 24,270.50

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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.