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Finding the Fourth Proportional to 65,224.44, 97,816.18 and 27,784.12

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Solution

The fourth proportional to 65,224.44, 97,816.18 and 27,784.12 is: 41,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.44 : 97,816.18 = 27,784.12 : x
  2. Step 2: Convert to fraction form
    65,224.44/97,816.18 = 27,784.12/x
  3. Step 3: Cross multiply
    65,224.44x = 97,816.18 × 27,784.12
  4. Step 4: Simplify right side
    65,224.44x = 2,717,736,483.06
  5. Step 5: Solve for x
    x = 2,717,736,483.06/65,224.44
  6. Step 6: Final answer
    x = 41,667.46

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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.