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Finding the Fourth Proportional to 55,881.80, 83,836.64 and 18,444

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Solution

The fourth proportional to 55,881.80, 83,836.64 and 18,444 is: 27,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881.80 : 83,836.64 = 18,444 : x
  2. Step 2: Convert to fraction form
    55,881.80/83,836.64 = 18,444/x
  3. Step 3: Cross multiply
    55,881.80x = 83,836.64 × 18,444
  4. Step 4: Simplify right side
    55,881.80x = 1,546,282,988.16
  5. Step 5: Solve for x
    x = 1,546,282,988.16/55,881.80
  6. Step 6: Final answer
    x = 27,670.60

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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.