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Finding the Fourth Proportional to 74,057.76, 102,202.28 and 40,523.76

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Solution

The fourth proportional to 74,057.76, 102,202.28 and 40,523.76 is: 55,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.76 : 102,202.28 = 40,523.76 : x
  2. Step 2: Convert to fraction form
    74,057.76/102,202.28 = 40,523.76/x
  3. Step 3: Cross multiply
    74,057.76x = 102,202.28 × 40,523.76
  4. Step 4: Simplify right side
    74,057.76x = 4,141,620,666.17
  5. Step 5: Solve for x
    x = 4,141,620,666.17/74,057.76
  6. Step 6: Final answer
    x = 55,924.20

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1.5x scale

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.