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Finding the Fourth Proportional to 48,203.82, 72,304.94 and 13,143.47

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Solution

The fourth proportional to 48,203.82, 72,304.94 and 13,143.47 is: 19,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,203.82 : 72,304.94 = 13,143.47 : x
  2. Step 2: Convert to fraction form
    48,203.82/72,304.94 = 13,143.47/x
  3. Step 3: Cross multiply
    48,203.82x = 72,304.94 × 13,143.47
  4. Step 4: Simplify right side
    48,203.82x = 950,337,481.08
  5. Step 5: Solve for x
    x = 950,337,481.08/48,203.82
  6. Step 6: Final answer
    x = 19,714.98

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1.5x scale

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.