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Finding the Fourth Proportional to 55,616, 83,437.44 and 22,784

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Solution

The fourth proportional to 55,616, 83,437.44 and 22,784 is: 34,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,616 : 83,437.44 = 22,784 : x
  2. Step 2: Convert to fraction form
    55,616/83,437.44 = 22,784/x
  3. Step 3: Cross multiply
    55,616x = 83,437.44 × 22,784
  4. Step 4: Simplify right side
    55,616x = 1,901,038,632.96
  5. Step 5: Solve for x
    x = 1,901,038,632.96/55,616
  6. Step 6: Final answer
    x = 34,181.51

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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.