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Finding the Fourth Proportional to 36,970.88, 51,019.83 and 20,203.88

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Solution

The fourth proportional to 36,970.88, 51,019.83 and 20,203.88 is: 27,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970.88 : 51,019.83 = 20,203.88 : x
  2. Step 2: Convert to fraction form
    36,970.88/51,019.83 = 20,203.88/x
  3. Step 3: Cross multiply
    36,970.88x = 51,019.83 × 20,203.88
  4. Step 4: Simplify right side
    36,970.88x = 1,030,798,267.84
  5. Step 5: Solve for x
    x = 1,030,798,267.84/36,970.88
  6. Step 6: Final answer
    x = 27,881.36

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1.5x scale

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.