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Finding the Fourth Proportional to 31,902.84, 47,861.15 and 9,715.64

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Solution

The fourth proportional to 31,902.84, 47,861.15 and 9,715.64 is: 14,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.84 : 47,861.15 = 9,715.64 : x
  2. Step 2: Convert to fraction form
    31,902.84/47,861.15 = 9,715.64/x
  3. Step 3: Cross multiply
    31,902.84x = 47,861.15 × 9,715.64
  4. Step 4: Simplify right side
    31,902.84x = 465,001,415.50
  5. Step 5: Solve for x
    x = 465,001,415.50/31,902.84
  6. Step 6: Final answer
    x = 14,575.55

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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.