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Finding the Fourth Proportional to 32,102.88, 44,298.54 and 17,953.80

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Solution

The fourth proportional to 32,102.88, 44,298.54 and 17,953.80 is: 24,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.88 : 44,298.54 = 17,953.80 : x
  2. Step 2: Convert to fraction form
    32,102.88/44,298.54 = 17,953.80/x
  3. Step 3: Cross multiply
    32,102.88x = 44,298.54 × 17,953.80
  4. Step 4: Simplify right side
    32,102.88x = 795,327,127.45
  5. Step 5: Solve for x
    x = 795,327,127.45/32,102.88
  6. Step 6: Final answer
    x = 24,774.32

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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.