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Finding the Fourth Proportional to 32,575.48, 44,965.76 and 19,822.84

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Solution

The fourth proportional to 32,575.48, 44,965.76 and 19,822.84 is: 27,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.48 : 44,965.76 = 19,822.84 : x
  2. Step 2: Convert to fraction form
    32,575.48/44,965.76 = 19,822.84/x
  3. Step 3: Cross multiply
    32,575.48x = 44,965.76 × 19,822.84
  4. Step 4: Simplify right side
    32,575.48x = 891,349,065.96
  5. Step 5: Solve for x
    x = 891,349,065.96/32,575.48
  6. Step 6: Final answer
    x = 27,362.58

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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.