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Finding the Fourth Proportional to 100,700.32, 138,968.04 and 55,380.28

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Solution

The fourth proportional to 100,700.32, 138,968.04 and 55,380.28 is: 76,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.32 : 138,968.04 = 55,380.28 : x
  2. Step 2: Convert to fraction form
    100,700.32/138,968.04 = 55,380.28/x
  3. Step 3: Cross multiply
    100,700.32x = 138,968.04 × 55,380.28
  4. Step 4: Simplify right side
    100,700.32x = 7,696,088,966.25
  5. Step 5: Solve for x
    x = 7,696,088,966.25/100,700.32
  6. Step 6: Final answer
    x = 76,425.67

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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.