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Finding the Fourth Proportional to 32,033.22, 48,054.44 and 9,848.46

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Solution

The fourth proportional to 32,033.22, 48,054.44 and 9,848.46 is: 14,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.22 : 48,054.44 = 9,848.46 : x
  2. Step 2: Convert to fraction form
    32,033.22/48,054.44 = 9,848.46/x
  3. Step 3: Cross multiply
    32,033.22x = 48,054.44 × 9,848.46
  4. Step 4: Simplify right side
    32,033.22x = 473,262,180.92
  5. Step 5: Solve for x
    x = 473,262,180.92/32,033.22
  6. Step 6: Final answer
    x = 14,774.11

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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.