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Finding the Fourth Proportional to 31,830.46, 48,044.81 and 31,830.46

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Solution

The fourth proportional to 31,830.46, 48,044.81 and 31,830.46 is: 48,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.46 : 48,044.81 = 31,830.46 : x
  2. Step 2: Convert to fraction form
    31,830.46/48,044.81 = 31,830.46/x
  3. Step 3: Cross multiply
    31,830.46x = 48,044.81 × 31,830.46
  4. Step 4: Simplify right side
    31,830.46x = 1,529,288,402.91
  5. Step 5: Solve for x
    x = 1,529,288,402.91/31,830.46
  6. Step 6: Final answer
    x = 48,044.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.