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Finding the Fourth Proportional to 109,082.34, 163,544.94 and 42,466.32

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Solution

The fourth proportional to 109,082.34, 163,544.94 and 42,466.32 is: 63,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,082.34 : 163,544.94 = 42,466.32 : x
  2. Step 2: Convert to fraction form
    109,082.34/163,544.94 = 42,466.32/x
  3. Step 3: Cross multiply
    109,082.34x = 163,544.94 × 42,466.32
  4. Step 4: Simplify right side
    109,082.34x = 6,945,151,756.42
  5. Step 5: Solve for x
    x = 6,945,151,756.42/109,082.34
  6. Step 6: Final answer
    x = 63,668.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.