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Finding the Fourth Proportional to 32,129.42, 44,334.66 and 17,788.16

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Solution

The fourth proportional to 32,129.42, 44,334.66 and 17,788.16 is: 24,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.42 : 44,334.66 = 17,788.16 : x
  2. Step 2: Convert to fraction form
    32,129.42/44,334.66 = 17,788.16/x
  3. Step 3: Cross multiply
    32,129.42x = 44,334.66 × 17,788.16
  4. Step 4: Simplify right side
    32,129.42x = 788,632,025.63
  5. Step 5: Solve for x
    x = 788,632,025.63/32,129.42
  6. Step 6: Final answer
    x = 24,545.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.