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Finding the Fourth Proportional to 31,657.92, 47,492.64 and 10,876.80

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Solution

The fourth proportional to 31,657.92, 47,492.64 and 10,876.80 is: 16,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.92 : 47,492.64 = 10,876.80 : x
  2. Step 2: Convert to fraction form
    31,657.92/47,492.64 = 10,876.80/x
  3. Step 3: Cross multiply
    31,657.92x = 47,492.64 × 10,876.80
  4. Step 4: Simplify right side
    31,657.92x = 516,567,946.75
  5. Step 5: Solve for x
    x = 516,567,946.75/31,657.92
  6. Step 6: Final answer
    x = 16,317.18

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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.