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Finding the Fourth Proportional to 105,772.32, 145,964.64 and 58,023.36

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Solution

The fourth proportional to 105,772.32, 145,964.64 and 58,023.36 is: 80,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772.32 : 145,964.64 = 58,023.36 : x
  2. Step 2: Convert to fraction form
    105,772.32/145,964.64 = 58,023.36/x
  3. Step 3: Cross multiply
    105,772.32x = 145,964.64 × 58,023.36
  4. Step 4: Simplify right side
    105,772.32x = 8,469,358,853.99
  5. Step 5: Solve for x
    x = 8,469,358,853.99/105,772.32
  6. Step 6: Final answer
    x = 80,071.60

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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.