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Finding the Fourth Proportional to 52,361.79, 78,554.91 and 14,922.33

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Solution

The fourth proportional to 52,361.79, 78,554.91 and 14,922.33 is: 22,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,361.79 : 78,554.91 = 14,922.33 : x
  2. Step 2: Convert to fraction form
    52,361.79/78,554.91 = 14,922.33/x
  3. Step 3: Cross multiply
    52,361.79x = 78,554.91 × 14,922.33
  4. Step 4: Simplify right side
    52,361.79x = 1,172,222,051.52
  5. Step 5: Solve for x
    x = 1,172,222,051.52/52,361.79
  6. Step 6: Final answer
    x = 22,386.97

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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.