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Finding the Fourth Proportional to 55,362, 76,400.64 and 33,006

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Solution

The fourth proportional to 55,362, 76,400.64 and 33,006 is: 45,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362 : 76,400.64 = 33,006 : x
  2. Step 2: Convert to fraction form
    55,362/76,400.64 = 33,006/x
  3. Step 3: Cross multiply
    55,362x = 76,400.64 × 33,006
  4. Step 4: Simplify right side
    55,362x = 2,521,679,523.84
  5. Step 5: Solve for x
    x = 2,521,679,523.84/55,362
  6. Step 6: Final answer
    x = 45,548.92

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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.