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Finding the Fourth Proportional to 76,297.32, 105,293.66 and 42,303.64

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Solution

The fourth proportional to 76,297.32, 105,293.66 and 42,303.64 is: 58,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,297.32 : 105,293.66 = 42,303.64 : x
  2. Step 2: Convert to fraction form
    76,297.32/105,293.66 = 42,303.64/x
  3. Step 3: Cross multiply
    76,297.32x = 105,293.66 × 42,303.64
  4. Step 4: Simplify right side
    76,297.32x = 4,454,305,086.92
  5. Step 5: Solve for x
    x = 4,454,305,086.92/76,297.32
  6. Step 6: Final answer
    x = 58,380.89

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