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Finding the Fourth Proportional to 109,465.64, 164,220.70 and 34,597.48

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Solution

The fourth proportional to 109,465.64, 164,220.70 and 34,597.48 is: 51,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,465.64 : 164,220.70 = 34,597.48 : x
  2. Step 2: Convert to fraction form
    109,465.64/164,220.70 = 34,597.48/x
  3. Step 3: Cross multiply
    109,465.64x = 164,220.70 × 34,597.48
  4. Step 4: Simplify right side
    109,465.64x = 5,681,622,383.84
  5. Step 5: Solve for x
    x = 5,681,622,383.84/109,465.64
  6. Step 6: Final answer
    x = 51,903.25

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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.