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Finding the Fourth Proportional to 105,880.64, 158,844.65 and 35,758.13

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Solution

The fourth proportional to 105,880.64, 158,844.65 and 35,758.13 is: 53,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,880.64 : 158,844.65 = 35,758.13 : x
  2. Step 2: Convert to fraction form
    105,880.64/158,844.65 = 35,758.13/x
  3. Step 3: Cross multiply
    105,880.64x = 158,844.65 × 35,758.13
  4. Step 4: Simplify right side
    105,880.64x = 5,679,986,671.49
  5. Step 5: Solve for x
    x = 5,679,986,671.49/105,880.64
  6. Step 6: Final answer
    x = 53,645.19

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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.