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Finding the Fourth Proportional to 31,457.60, 47,184.96 and 10,680.96

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Solution

The fourth proportional to 31,457.60, 47,184.96 and 10,680.96 is: 16,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.60 : 47,184.96 = 10,680.96 : x
  2. Step 2: Convert to fraction form
    31,457.60/47,184.96 = 10,680.96/x
  3. Step 3: Cross multiply
    31,457.60x = 47,184.96 × 10,680.96
  4. Step 4: Simplify right side
    31,457.60x = 503,980,670.36
  5. Step 5: Solve for x
    x = 503,980,670.36/31,457.60
  6. Step 6: Final answer
    x = 16,020.95

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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.