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Finding the Fourth Proportional to 46,999.20, 64,866 and 26,860.32

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Solution

The fourth proportional to 46,999.20, 64,866 and 26,860.32 is: 37,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.20 : 64,866 = 26,860.32 : x
  2. Step 2: Convert to fraction form
    46,999.20/64,866 = 26,860.32/x
  3. Step 3: Cross multiply
    46,999.20x = 64,866 × 26,860.32
  4. Step 4: Simplify right side
    46,999.20x = 1,742,321,517.12
  5. Step 5: Solve for x
    x = 1,742,321,517.12/46,999.20
  6. Step 6: Final answer
    x = 37,071.30

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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.