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Finding the Fourth Proportional to 100,082.64, 138,097.80 and 55,362

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Solution

The fourth proportional to 100,082.64, 138,097.80 and 55,362 is: 76,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.64 : 138,097.80 = 55,362 : x
  2. Step 2: Convert to fraction form
    100,082.64/138,097.80 = 55,362/x
  3. Step 3: Cross multiply
    100,082.64x = 138,097.80 × 55,362
  4. Step 4: Simplify right side
    100,082.64x = 7,645,370,403.60
  5. Step 5: Solve for x
    x = 7,645,370,403.60/100,082.64
  6. Step 6: Final answer
    x = 76,390.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.