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Finding the Fourth Proportional to 77,082.09, 106,390.43 and 46,861

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Solution

The fourth proportional to 77,082.09, 106,390.43 and 46,861 is: 64,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.09 : 106,390.43 = 46,861 : x
  2. Step 2: Convert to fraction form
    77,082.09/106,390.43 = 46,861/x
  3. Step 3: Cross multiply
    77,082.09x = 106,390.43 × 46,861
  4. Step 4: Simplify right side
    77,082.09x = 4,985,561,940.23
  5. Step 5: Solve for x
    x = 4,985,561,940.23/77,082.09
  6. Step 6: Final answer
    x = 64,678.60

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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.