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Finding the Fourth Proportional to 58,872, 81,243.36 and 32,376

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Solution

The fourth proportional to 58,872, 81,243.36 and 32,376 is: 44,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,872 : 81,243.36 = 32,376 : x
  2. Step 2: Convert to fraction form
    58,872/81,243.36 = 32,376/x
  3. Step 3: Cross multiply
    58,872x = 81,243.36 × 32,376
  4. Step 4: Simplify right side
    58,872x = 2,630,335,023.36
  5. Step 5: Solve for x
    x = 2,630,335,023.36/58,872
  6. Step 6: Final answer
    x = 44,678.88

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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.