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Finding the Fourth Proportional to 31,658.40, 47,487.60 and 17,661.60

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Solution

The fourth proportional to 31,658.40, 47,487.60 and 17,661.60 is: 26,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.40 : 47,487.60 = 17,661.60 : x
  2. Step 2: Convert to fraction form
    31,658.40/47,487.60 = 17,661.60/x
  3. Step 3: Cross multiply
    31,658.40x = 47,487.60 × 17,661.60
  4. Step 4: Simplify right side
    31,658.40x = 838,706,996.16
  5. Step 5: Solve for x
    x = 838,706,996.16/31,658.40
  6. Step 6: Final answer
    x = 26,492.40

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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.