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Finding the Fourth Proportional to 65,191.50, 89,969.19 and 36,509.70

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Solution

The fourth proportional to 65,191.50, 89,969.19 and 36,509.70 is: 50,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.50 : 89,969.19 = 36,509.70 : x
  2. Step 2: Convert to fraction form
    65,191.50/89,969.19 = 36,509.70/x
  3. Step 3: Cross multiply
    65,191.50x = 89,969.19 × 36,509.70
  4. Step 4: Simplify right side
    65,191.50x = 3,284,748,136.14
  5. Step 5: Solve for x
    x = 3,284,748,136.14/65,191.50
  6. Step 6: Final answer
    x = 50,386.14

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1.5x scale

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.