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Finding the Fourth Proportional to 32,678.16, 45,096.12 and 17,774.16

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Solution

The fourth proportional to 32,678.16, 45,096.12 and 17,774.16 is: 24,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.16 : 45,096.12 = 17,774.16 : x
  2. Step 2: Convert to fraction form
    32,678.16/45,096.12 = 17,774.16/x
  3. Step 3: Cross multiply
    32,678.16x = 45,096.12 × 17,774.16
  4. Step 4: Simplify right side
    32,678.16x = 801,545,652.26
  5. Step 5: Solve for x
    x = 801,545,652.26/32,678.16
  6. Step 6: Final answer
    x = 24,528.48

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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.