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Finding the Fourth Proportional to 33,175.20, 49,705.20 and 31,101.60

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Solution

The fourth proportional to 33,175.20, 49,705.20 and 31,101.60 is: 46,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175.20 : 49,705.20 = 31,101.60 : x
  2. Step 2: Convert to fraction form
    33,175.20/49,705.20 = 31,101.60/x
  3. Step 3: Cross multiply
    33,175.20x = 49,705.20 × 31,101.60
  4. Step 4: Simplify right side
    33,175.20x = 1,545,911,248.32
  5. Step 5: Solve for x
    x = 1,545,911,248.32/33,175.20
  6. Step 6: Final answer
    x = 46,598.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.