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Finding the Fourth Proportional to 46,503.37, 64,174.85 and 27,640.63

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Solution

The fourth proportional to 46,503.37, 64,174.85 and 27,640.63 is: 38,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,503.37 : 64,174.85 = 27,640.63 : x
  2. Step 2: Convert to fraction form
    46,503.37/64,174.85 = 27,640.63/x
  3. Step 3: Cross multiply
    46,503.37x = 64,174.85 × 27,640.63
  4. Step 4: Simplify right side
    46,503.37x = 1,773,833,284.16
  5. Step 5: Solve for x
    x = 1,773,833,284.16/46,503.37
  6. Step 6: Final answer
    x = 38,144.19

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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.