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Finding the Fourth Proportional to 65,224.02, 97,824.25 and 29,676.97

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Solution

The fourth proportional to 65,224.02, 97,824.25 and 29,676.97 is: 44,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.02 : 97,824.25 = 29,676.97 : x
  2. Step 2: Convert to fraction form
    65,224.02/97,824.25 = 29,676.97/x
  3. Step 3: Cross multiply
    65,224.02x = 97,824.25 × 29,676.97
  4. Step 4: Simplify right side
    65,224.02x = 2,903,127,332.52
  5. Step 5: Solve for x
    x = 2,903,127,332.52/65,224.02
  6. Step 6: Final answer
    x = 44,510.10

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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.