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Finding the Fourth Proportional to 51,046.14, 70,443.90 and 29,820.90

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Solution

The fourth proportional to 51,046.14, 70,443.90 and 29,820.90 is: 41,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046.14 : 70,443.90 = 29,820.90 : x
  2. Step 2: Convert to fraction form
    51,046.14/70,443.90 = 29,820.90/x
  3. Step 3: Cross multiply
    51,046.14x = 70,443.90 × 29,820.90
  4. Step 4: Simplify right side
    51,046.14x = 2,100,700,497.51
  5. Step 5: Solve for x
    x = 2,100,700,497.51/51,046.14
  6. Step 6: Final answer
    x = 41,152.97

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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.