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Finding the Fourth Proportional to 32,094.47, 44,289.54 and 17,753.93

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Solution

The fourth proportional to 32,094.47, 44,289.54 and 17,753.93 is: 24,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.47 : 44,289.54 = 17,753.93 : x
  2. Step 2: Convert to fraction form
    32,094.47/44,289.54 = 17,753.93/x
  3. Step 3: Cross multiply
    32,094.47x = 44,289.54 × 17,753.93
  4. Step 4: Simplify right side
    32,094.47x = 786,313,404.11
  5. Step 5: Solve for x
    x = 786,313,404.11/32,094.47
  6. Step 6: Final answer
    x = 24,499.96

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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.