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Finding the Fourth Proportional to 73,905.46, 101,989.64 and 42,074.32

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Solution

The fourth proportional to 73,905.46, 101,989.64 and 42,074.32 is: 58,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905.46 : 101,989.64 = 42,074.32 : x
  2. Step 2: Convert to fraction form
    73,905.46/101,989.64 = 42,074.32/x
  3. Step 3: Cross multiply
    73,905.46x = 101,989.64 × 42,074.32
  4. Step 4: Simplify right side
    73,905.46x = 4,291,144,750.04
  5. Step 5: Solve for x
    x = 4,291,144,750.04/73,905.46
  6. Step 6: Final answer
    x = 58,062.62

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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.