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Finding the Fourth Proportional to 39,970.89, 55,138.00 and 27,852.18

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Solution

The fourth proportional to 39,970.89, 55,138.00 and 27,852.18 is: 38,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.89 : 55,138.00 = 27,852.18 : x
  2. Step 2: Convert to fraction form
    39,970.89/55,138.00 = 27,852.18/x
  3. Step 3: Cross multiply
    39,970.89x = 55,138.00 × 27,852.18
  4. Step 4: Simplify right side
    39,970.89x = 1,535,713,276.66
  5. Step 5: Solve for x
    x = 1,535,713,276.66/39,970.89
  6. Step 6: Final answer
    x = 38,420.79

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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.