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Finding the Fourth Proportional to 109,903.59, 164,853.57 and 35,022.69

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Solution

The fourth proportional to 109,903.59, 164,853.57 and 35,022.69 is: 52,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903.59 : 164,853.57 = 35,022.69 : x
  2. Step 2: Convert to fraction form
    109,903.59/164,853.57 = 35,022.69/x
  3. Step 3: Cross multiply
    109,903.59x = 164,853.57 × 35,022.69
  4. Step 4: Simplify right side
    109,903.59x = 5,773,615,477.50
  5. Step 5: Solve for x
    x = 5,773,615,477.50/109,903.59
  6. Step 6: Final answer
    x = 52,533.46

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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.