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Finding the Fourth Proportional to 32,800.32, 45,264.96 and 17,896.32

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Solution

The fourth proportional to 32,800.32, 45,264.96 and 17,896.32 is: 24,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.32 : 45,264.96 = 17,896.32 : x
  2. Step 2: Convert to fraction form
    32,800.32/45,264.96 = 17,896.32/x
  3. Step 3: Cross multiply
    32,800.32x = 45,264.96 × 17,896.32
  4. Step 4: Simplify right side
    32,800.32x = 810,076,208.95
  5. Step 5: Solve for x
    x = 810,076,208.95/32,800.32
  6. Step 6: Final answer
    x = 24,697.20

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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.