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Finding the Fourth Proportional to 48,835.04, 73,252.56 and 17,663

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Solution

The fourth proportional to 48,835.04, 73,252.56 and 17,663 is: 26,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,835.04 : 73,252.56 = 17,663 : x
  2. Step 2: Convert to fraction form
    48,835.04/73,252.56 = 17,663/x
  3. Step 3: Cross multiply
    48,835.04x = 73,252.56 × 17,663
  4. Step 4: Simplify right side
    48,835.04x = 1,293,859,967.28
  5. Step 5: Solve for x
    x = 1,293,859,967.28/48,835.04
  6. Step 6: Final answer
    x = 26,494.50

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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.