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Finding the Fourth Proportional to 55,791.84, 83,544.90 and 30,804.15

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Solution

The fourth proportional to 55,791.84, 83,544.90 and 30,804.15 is: 46,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,791.84 : 83,544.90 = 30,804.15 : x
  2. Step 2: Convert to fraction form
    55,791.84/83,544.90 = 30,804.15/x
  3. Step 3: Cross multiply
    55,791.84x = 83,544.90 × 30,804.15
  4. Step 4: Simplify right side
    55,791.84x = 2,573,529,631.34
  5. Step 5: Solve for x
    x = 2,573,529,631.34/55,791.84
  6. Step 6: Final answer
    x = 46,127.35

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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.