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Finding the Fourth Proportional to 32,018.49, 48,016.80 and 9,523.17

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Solution

The fourth proportional to 32,018.49, 48,016.80 and 9,523.17 is: 14,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.49 : 48,016.80 = 9,523.17 : x
  2. Step 2: Convert to fraction form
    32,018.49/48,016.80 = 9,523.17/x
  3. Step 3: Cross multiply
    32,018.49x = 48,016.80 × 9,523.17
  4. Step 4: Simplify right side
    32,018.49x = 457,272,149.26
  5. Step 5: Solve for x
    x = 457,272,149.26/32,018.49
  6. Step 6: Final answer
    x = 14,281.50

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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.