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Finding the Fourth Proportional to 65,223.44, 97,814.68 and 27,783.12

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Solution

The fourth proportional to 65,223.44, 97,814.68 and 27,783.12 is: 41,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.44 : 97,814.68 = 27,783.12 : x
  2. Step 2: Convert to fraction form
    65,223.44/97,814.68 = 27,783.12/x
  3. Step 3: Cross multiply
    65,223.44x = 97,814.68 × 27,783.12
  4. Step 4: Simplify right side
    65,223.44x = 2,717,596,992.20
  5. Step 5: Solve for x
    x = 2,717,596,992.20/65,223.44
  6. Step 6: Final answer
    x = 41,665.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.