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Finding the Fourth Proportional to 46,807.38, 64,588.05 and 27,940.50

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Solution

The fourth proportional to 46,807.38, 64,588.05 and 27,940.50 is: 38,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,807.38 : 64,588.05 = 27,940.50 : x
  2. Step 2: Convert to fraction form
    46,807.38/64,588.05 = 27,940.50/x
  3. Step 3: Cross multiply
    46,807.38x = 64,588.05 × 27,940.50
  4. Step 4: Simplify right side
    46,807.38x = 1,804,622,411.03
  5. Step 5: Solve for x
    x = 1,804,622,411.03/46,807.38
  6. Step 6: Final answer
    x = 38,554.23

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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.