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Finding the Fourth Proportional to 101,046.40, 151,569.60 and 34,464.40

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Solution

The fourth proportional to 101,046.40, 151,569.60 and 34,464.40 is: 51,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,046.40 : 151,569.60 = 34,464.40 : x
  2. Step 2: Convert to fraction form
    101,046.40/151,569.60 = 34,464.40/x
  3. Step 3: Cross multiply
    101,046.40x = 151,569.60 × 34,464.40
  4. Step 4: Simplify right side
    101,046.40x = 5,223,755,322.24
  5. Step 5: Solve for x
    x = 5,223,755,322.24/101,046.40
  6. Step 6: Final answer
    x = 51,696.60

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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.