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Finding the Fourth Proportional to 32,678.17, 45,109.64 and 22,082.15

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Solution

The fourth proportional to 32,678.17, 45,109.64 and 22,082.15 is: 30,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.17 : 45,109.64 = 22,082.15 : x
  2. Step 2: Convert to fraction form
    32,678.17/45,109.64 = 22,082.15/x
  3. Step 3: Cross multiply
    32,678.17x = 45,109.64 × 22,082.15
  4. Step 4: Simplify right side
    32,678.17x = 996,118,004.91
  5. Step 5: Solve for x
    x = 996,118,004.91/32,678.17
  6. Step 6: Final answer
    x = 30,482.68

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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.