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Finding the Fourth Proportional to 77,048.71, 106,329.49 and 43,057.28

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Solution

The fourth proportional to 77,048.71, 106,329.49 and 43,057.28 is: 59,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048.71 : 106,329.49 = 43,057.28 : x
  2. Step 2: Convert to fraction form
    77,048.71/106,329.49 = 43,057.28/x
  3. Step 3: Cross multiply
    77,048.71x = 106,329.49 × 43,057.28
  4. Step 4: Simplify right side
    77,048.71x = 4,578,258,781.37
  5. Step 5: Solve for x
    x = 4,578,258,781.37/77,048.71
  6. Step 6: Final answer
    x = 59,420.32

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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.