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Finding the Fourth Proportional to 47,234.54, 65,162.63 and 31,916.21

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Solution

The fourth proportional to 47,234.54, 65,162.63 and 31,916.21 is: 44,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,234.54 : 65,162.63 = 31,916.21 : x
  2. Step 2: Convert to fraction form
    47,234.54/65,162.63 = 31,916.21/x
  3. Step 3: Cross multiply
    47,234.54x = 65,162.63 × 31,916.21
  4. Step 4: Simplify right side
    47,234.54x = 2,079,743,937.21
  5. Step 5: Solve for x
    x = 2,079,743,937.21/47,234.54
  6. Step 6: Final answer
    x = 44,030.15

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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.