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Finding the Fourth Proportional to 77,028, 106,280.40 and 44,743.42

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Solution

The fourth proportional to 77,028, 106,280.40 and 44,743.42 is: 61,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028 : 106,280.40 = 44,743.42 : x
  2. Step 2: Convert to fraction form
    77,028/106,280.40 = 44,743.42/x
  3. Step 3: Cross multiply
    77,028x = 106,280.40 × 44,743.42
  4. Step 4: Simplify right side
    77,028x = 4,755,348,574.97
  5. Step 5: Solve for x
    x = 4,755,348,574.97/77,028
  6. Step 6: Final answer
    x = 61,735.32

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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.