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Finding the Fourth Proportional to 105,701.12, 145,866.43 and 57,954.35

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Solution

The fourth proportional to 105,701.12, 145,866.43 and 57,954.35 is: 79,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,701.12 : 145,866.43 = 57,954.35 : x
  2. Step 2: Convert to fraction form
    105,701.12/145,866.43 = 57,954.35/x
  3. Step 3: Cross multiply
    105,701.12x = 145,866.43 × 57,954.35
  4. Step 4: Simplify right side
    105,701.12x = 8,453,593,263.25
  5. Step 5: Solve for x
    x = 8,453,593,263.25/105,701.12
  6. Step 6: Final answer
    x = 79,976.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.