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Finding the Fourth Proportional to 46,963.12, 64,811.28 and 25,744

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Solution

The fourth proportional to 46,963.12, 64,811.28 and 25,744 is: 35,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.12 : 64,811.28 = 25,744 : x
  2. Step 2: Convert to fraction form
    46,963.12/64,811.28 = 25,744/x
  3. Step 3: Cross multiply
    46,963.12x = 64,811.28 × 25,744
  4. Step 4: Simplify right side
    46,963.12x = 1,668,501,592.32
  5. Step 5: Solve for x
    x = 1,668,501,592.32/46,963.12
  6. Step 6: Final answer
    x = 35,527.91

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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.