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Finding the Fourth Proportional to 46,454.76, 64,116.90 and 27,588.24

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Solution

The fourth proportional to 46,454.76, 64,116.90 and 27,588.24 is: 38,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,454.76 : 64,116.90 = 27,588.24 : x
  2. Step 2: Convert to fraction form
    46,454.76/64,116.90 = 27,588.24/x
  3. Step 3: Cross multiply
    46,454.76x = 64,116.90 × 27,588.24
  4. Step 4: Simplify right side
    46,454.76x = 1,768,872,425.26
  5. Step 5: Solve for x
    x = 1,768,872,425.26/46,454.76
  6. Step 6: Final answer
    x = 38,077.31

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