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Finding the Fourth Proportional to 106,029.48, 159,043.14 and 27,143.40

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Solution

The fourth proportional to 106,029.48, 159,043.14 and 27,143.40 is: 40,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.48 : 159,043.14 = 27,143.40 : x
  2. Step 2: Convert to fraction form
    106,029.48/159,043.14 = 27,143.40/x
  3. Step 3: Cross multiply
    106,029.48x = 159,043.14 × 27,143.40
  4. Step 4: Simplify right side
    106,029.48x = 4,316,971,566.28
  5. Step 5: Solve for x
    x = 4,316,971,566.28/106,029.48
  6. Step 6: Final answer
    x = 40,714.82

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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.