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Finding the Fourth Proportional to 38,965.93, 53,771.90 and 21,970.02

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Solution

The fourth proportional to 38,965.93, 53,771.90 and 21,970.02 is: 30,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.93 : 53,771.90 = 21,970.02 : x
  2. Step 2: Convert to fraction form
    38,965.93/53,771.90 = 21,970.02/x
  3. Step 3: Cross multiply
    38,965.93x = 53,771.90 × 21,970.02
  4. Step 4: Simplify right side
    38,965.93x = 1,181,369,718.44
  5. Step 5: Solve for x
    x = 1,181,369,718.44/38,965.93
  6. Step 6: Final answer
    x = 30,318.02

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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.