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Finding the Fourth Proportional to 48,592.32, 72,825.90 and 23,583.97

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Solution

The fourth proportional to 48,592.32, 72,825.90 and 23,583.97 is: 35,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.32 : 72,825.90 = 23,583.97 : x
  2. Step 2: Convert to fraction form
    48,592.32/72,825.90 = 23,583.97/x
  3. Step 3: Cross multiply
    48,592.32x = 72,825.90 × 23,583.97
  4. Step 4: Simplify right side
    48,592.32x = 1,717,523,840.82
  5. Step 5: Solve for x
    x = 1,717,523,840.82/48,592.32
  6. Step 6: Final answer
    x = 35,345.58

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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.