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Finding the Fourth Proportional to 55,988.25, 83,984 and 14,435.25

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Solution

The fourth proportional to 55,988.25, 83,984 and 14,435.25 is: 21,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,988.25 : 83,984 = 14,435.25 : x
  2. Step 2: Convert to fraction form
    55,988.25/83,984 = 14,435.25/x
  3. Step 3: Cross multiply
    55,988.25x = 83,984 × 14,435.25
  4. Step 4: Simplify right side
    55,988.25x = 1,212,330,036
  5. Step 5: Solve for x
    x = 1,212,330,036/55,988.25
  6. Step 6: Final answer
    x = 21,653.29

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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.