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Finding the Fourth Proportional to 65,872.24, 90,903.04 and 35,656.96

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Solution

The fourth proportional to 65,872.24, 90,903.04 and 35,656.96 is: 49,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.24 : 90,903.04 = 35,656.96 : x
  2. Step 2: Convert to fraction form
    65,872.24/90,903.04 = 35,656.96/x
  3. Step 3: Cross multiply
    65,872.24x = 90,903.04 × 35,656.96
  4. Step 4: Simplify right side
    65,872.24x = 3,241,326,061.16
  5. Step 5: Solve for x
    x = 3,241,326,061.16/65,872.24
  6. Step 6: Final answer
    x = 49,206.25

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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.