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Finding the Fourth Proportional to 46,497.95, 64,166.41 and 25,277.75

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Solution

The fourth proportional to 46,497.95, 64,166.41 and 25,277.75 is: 34,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497.95 : 64,166.41 = 25,277.75 : x
  2. Step 2: Convert to fraction form
    46,497.95/64,166.41 = 25,277.75/x
  3. Step 3: Cross multiply
    46,497.95x = 64,166.41 × 25,277.75
  4. Step 4: Simplify right side
    46,497.95x = 1,621,982,470.38
  5. Step 5: Solve for x
    x = 1,621,982,470.38/46,497.95
  6. Step 6: Final answer
    x = 34,882.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.