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Finding the Fourth Proportional to 106,810.64, 160,215.96 and 36,689.48

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Solution

The fourth proportional to 106,810.64, 160,215.96 and 36,689.48 is: 55,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.64 : 160,215.96 = 36,689.48 : x
  2. Step 2: Convert to fraction form
    106,810.64/160,215.96 = 36,689.48/x
  3. Step 3: Cross multiply
    106,810.64x = 160,215.96 × 36,689.48
  4. Step 4: Simplify right side
    106,810.64x = 5,878,240,260.10
  5. Step 5: Solve for x
    x = 5,878,240,260.10/106,810.64
  6. Step 6: Final answer
    x = 55,034.22

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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.