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Finding the Fourth Proportional to 46,716.38, 64,470.38 and 26,575.10

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Solution

The fourth proportional to 46,716.38, 64,470.38 and 26,575.10 is: 36,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716.38 : 64,470.38 = 26,575.10 : x
  2. Step 2: Convert to fraction form
    46,716.38/64,470.38 = 26,575.10/x
  3. Step 3: Cross multiply
    46,716.38x = 64,470.38 × 26,575.10
  4. Step 4: Simplify right side
    46,716.38x = 1,713,306,340.31
  5. Step 5: Solve for x
    x = 1,713,306,340.31/46,716.38
  6. Step 6: Final answer
    x = 36,674.64

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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.