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Finding the Fourth Proportional to 106,022.88, 158,935.44 and 35,853.36

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Solution

The fourth proportional to 106,022.88, 158,935.44 and 35,853.36 is: 53,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022.88 : 158,935.44 = 35,853.36 : x
  2. Step 2: Convert to fraction form
    106,022.88/158,935.44 = 35,853.36/x
  3. Step 3: Cross multiply
    106,022.88x = 158,935.44 × 35,853.36
  4. Step 4: Simplify right side
    106,022.88x = 5,698,369,547.08
  5. Step 5: Solve for x
    x = 5,698,369,547.08/106,022.88
  6. Step 6: Final answer
    x = 53,746.60

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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.