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Finding the Fourth Proportional to 74,536.96, 102,863.74 and 42,712.01

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Solution

The fourth proportional to 74,536.96, 102,863.74 and 42,712.01 is: 58,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536.96 : 102,863.74 = 42,712.01 : x
  2. Step 2: Convert to fraction form
    74,536.96/102,863.74 = 42,712.01/x
  3. Step 3: Cross multiply
    74,536.96x = 102,863.74 × 42,712.01
  4. Step 4: Simplify right side
    74,536.96x = 4,393,516,936.24
  5. Step 5: Solve for x
    x = 4,393,516,936.24/74,536.96
  6. Step 6: Final answer
    x = 58,944.14

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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.