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Finding the Fourth Proportional to 101,176.40, 151,764.60 and 31,046.60

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Solution

The fourth proportional to 101,176.40, 151,764.60 and 31,046.60 is: 46,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176.40 : 151,764.60 = 31,046.60 : x
  2. Step 2: Convert to fraction form
    101,176.40/151,764.60 = 31,046.60/x
  3. Step 3: Cross multiply
    101,176.40x = 151,764.60 × 31,046.60
  4. Step 4: Simplify right side
    101,176.40x = 4,711,774,830.36
  5. Step 5: Solve for x
    x = 4,711,774,830.36/101,176.40
  6. Step 6: Final answer
    x = 46,569.90

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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.