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Finding the Fourth Proportional to 46,835.84, 64,635.83 and 27,726.59

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Solution

The fourth proportional to 46,835.84, 64,635.83 and 27,726.59 is: 38,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,835.84 : 64,635.83 = 27,726.59 : x
  2. Step 2: Convert to fraction form
    46,835.84/64,635.83 = 27,726.59/x
  3. Step 3: Cross multiply
    46,835.84x = 64,635.83 × 27,726.59
  4. Step 4: Simplify right side
    46,835.84x = 1,792,131,284.65
  5. Step 5: Solve for x
    x = 1,792,131,284.65/46,835.84
  6. Step 6: Final answer
    x = 38,264.10

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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.