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Finding the Fourth Proportional to 40,992.48, 61,475.76 and 13,284

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Solution

The fourth proportional to 40,992.48, 61,475.76 and 13,284 is: 19,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992.48 : 61,475.76 = 13,284 : x
  2. Step 2: Convert to fraction form
    40,992.48/61,475.76 = 13,284/x
  3. Step 3: Cross multiply
    40,992.48x = 61,475.76 × 13,284
  4. Step 4: Simplify right side
    40,992.48x = 816,643,995.84
  5. Step 5: Solve for x
    x = 816,643,995.84/40,992.48
  6. Step 6: Final answer
    x = 19,921.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.