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Finding the Fourth Proportional to 32,194.22, 48,295.79 and 10,009.40

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Solution

The fourth proportional to 32,194.22, 48,295.79 and 10,009.40 is: 15,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.22 : 48,295.79 = 10,009.40 : x
  2. Step 2: Convert to fraction form
    32,194.22/48,295.79 = 10,009.40/x
  3. Step 3: Cross multiply
    32,194.22x = 48,295.79 × 10,009.40
  4. Step 4: Simplify right side
    32,194.22x = 483,411,830.38
  5. Step 5: Solve for x
    x = 483,411,830.38/32,194.22
  6. Step 6: Final answer
    x = 15,015.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.