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Finding the Fourth Proportional to 65,136.40, 97,631.70 and 37,069.90

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Solution

The fourth proportional to 65,136.40, 97,631.70 and 37,069.90 is: 55,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136.40 : 97,631.70 = 37,069.90 : x
  2. Step 2: Convert to fraction form
    65,136.40/97,631.70 = 37,069.90/x
  3. Step 3: Cross multiply
    65,136.40x = 97,631.70 × 37,069.90
  4. Step 4: Simplify right side
    65,136.40x = 3,619,197,355.83
  5. Step 5: Solve for x
    x = 3,619,197,355.83/65,136.40
  6. Step 6: Final answer
    x = 55,563.36

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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.