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Finding the Fourth Proportional to 96,242.56, 144,388.72 and 29,681.20

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Solution

The fourth proportional to 96,242.56, 144,388.72 and 29,681.20 is: 44,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,242.56 : 144,388.72 = 29,681.20 : x
  2. Step 2: Convert to fraction form
    96,242.56/144,388.72 = 29,681.20/x
  3. Step 3: Cross multiply
    96,242.56x = 144,388.72 × 29,681.20
  4. Step 4: Simplify right side
    96,242.56x = 4,285,630,476.06
  5. Step 5: Solve for x
    x = 4,285,630,476.06/96,242.56
  6. Step 6: Final answer
    x = 44,529.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.