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Finding the Fourth Proportional to 65,191.32, 97,771.32 and 30,097.26

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Solution

The fourth proportional to 65,191.32, 97,771.32 and 30,097.26 is: 45,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.32 : 97,771.32 = 30,097.26 : x
  2. Step 2: Convert to fraction form
    65,191.32/97,771.32 = 30,097.26/x
  3. Step 3: Cross multiply
    65,191.32x = 97,771.32 × 30,097.26
  4. Step 4: Simplify right side
    65,191.32x = 2,942,648,838.58
  5. Step 5: Solve for x
    x = 2,942,648,838.58/65,191.32
  6. Step 6: Final answer
    x = 45,138.66

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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.