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Finding the Fourth Proportional to 32,194.08, 48,309.36 and 17,402.64

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Solution

The fourth proportional to 32,194.08, 48,309.36 and 17,402.64 is: 26,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.08 : 48,309.36 = 17,402.64 : x
  2. Step 2: Convert to fraction form
    32,194.08/48,309.36 = 17,402.64/x
  3. Step 3: Cross multiply
    32,194.08x = 48,309.36 × 17,402.64
  4. Step 4: Simplify right side
    32,194.08x = 840,710,400.71
  5. Step 5: Solve for x
    x = 840,710,400.71/32,194.08
  6. Step 6: Final answer
    x = 26,113.82

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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.