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Finding the Fourth Proportional to 31,383, 43,270.14 and 24,647.64

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Solution

The fourth proportional to 31,383, 43,270.14 and 24,647.64 is: 33,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 43,270.14 = 24,647.64 : x
  2. Step 2: Convert to fraction form
    31,383/43,270.14 = 24,647.64/x
  3. Step 3: Cross multiply
    31,383x = 43,270.14 × 24,647.64
  4. Step 4: Simplify right side
    31,383x = 1,066,506,833.47
  5. Step 5: Solve for x
    x = 1,066,506,833.47/31,383
  6. Step 6: Final answer
    x = 33,983.58

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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.