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Finding the Fourth Proportional to 55,682.82, 83,484.54 and 26,084.50

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Solution

The fourth proportional to 55,682.82, 83,484.54 and 26,084.50 is: 39,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682.82 : 83,484.54 = 26,084.50 : x
  2. Step 2: Convert to fraction form
    55,682.82/83,484.54 = 26,084.50/x
  3. Step 3: Cross multiply
    55,682.82x = 83,484.54 × 26,084.50
  4. Step 4: Simplify right side
    55,682.82x = 2,177,652,483.63
  5. Step 5: Solve for x
    x = 2,177,652,483.63/55,682.82
  6. Step 6: Final answer
    x = 39,108.16

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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.