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Finding the Fourth Proportional to 130,502.78, 195,754.29 and 32,006.78

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Solution

The fourth proportional to 130,502.78, 195,754.29 and 32,006.78 is: 48,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,502.78 : 195,754.29 = 32,006.78 : x
  2. Step 2: Convert to fraction form
    130,502.78/195,754.29 = 32,006.78/x
  3. Step 3: Cross multiply
    130,502.78x = 195,754.29 × 32,006.78
  4. Step 4: Simplify right side
    130,502.78x = 6,265,464,494.09
  5. Step 5: Solve for x
    x = 6,265,464,494.09/130,502.78
  6. Step 6: Final answer
    x = 48,010.20

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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.