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Finding the Fourth Proportional to 106,654.46, 160,008 and 31,774.31

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Solution

The fourth proportional to 106,654.46, 160,008 and 31,774.31 is: 47,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,654.46 : 160,008 = 31,774.31 : x
  2. Step 2: Convert to fraction form
    106,654.46/160,008 = 31,774.31/x
  3. Step 3: Cross multiply
    106,654.46x = 160,008 × 31,774.31
  4. Step 4: Simplify right side
    106,654.46x = 5,084,142,994.44
  5. Step 5: Solve for x
    x = 5,084,142,994.44/106,654.46
  6. Step 6: Final answer
    x = 47,669.30

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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.