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Finding the Fourth Proportional to 32,592.38, 44,978.02 and 17,688.38

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Solution

The fourth proportional to 32,592.38, 44,978.02 and 17,688.38 is: 24,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.38 : 44,978.02 = 17,688.38 : x
  2. Step 2: Convert to fraction form
    32,592.38/44,978.02 = 17,688.38/x
  3. Step 3: Cross multiply
    32,592.38x = 44,978.02 × 17,688.38
  4. Step 4: Simplify right side
    32,592.38x = 795,588,040.30
  5. Step 5: Solve for x
    x = 795,588,040.30/32,592.38
  6. Step 6: Final answer
    x = 24,410.25

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Why These Related Problems?

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