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Finding the Fourth Proportional to 106,714.80, 160,080.30 and 31,829.09

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Solution

The fourth proportional to 106,714.80, 160,080.30 and 31,829.09 is: 47,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.80 : 160,080.30 = 31,829.09 : x
  2. Step 2: Convert to fraction form
    106,714.80/160,080.30 = 31,829.09/x
  3. Step 3: Cross multiply
    106,714.80x = 160,080.30 × 31,829.09
  4. Step 4: Simplify right side
    106,714.80x = 5,095,209,475.53
  5. Step 5: Solve for x
    x = 5,095,209,475.53/106,714.80
  6. Step 6: Final answer
    x = 47,746.04

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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.