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Finding the Fourth Proportional to 77,012.40, 106,286.32 and 46,802.64

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Solution

The fourth proportional to 77,012.40, 106,286.32 and 46,802.64 is: 64,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012.40 : 106,286.32 = 46,802.64 : x
  2. Step 2: Convert to fraction form
    77,012.40/106,286.32 = 46,802.64/x
  3. Step 3: Cross multiply
    77,012.40x = 106,286.32 × 46,802.64
  4. Step 4: Simplify right side
    77,012.40x = 4,974,480,371.88
  5. Step 5: Solve for x
    x = 4,974,480,371.88/77,012.40
  6. Step 6: Final answer
    x = 64,593.24

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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.