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Finding the Fourth Proportional to 65,506.50, 90,403.65 and 36,438.30

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Solution

The fourth proportional to 65,506.50, 90,403.65 and 36,438.30 is: 50,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.50 : 90,403.65 = 36,438.30 : x
  2. Step 2: Convert to fraction form
    65,506.50/90,403.65 = 36,438.30/x
  3. Step 3: Cross multiply
    65,506.50x = 90,403.65 × 36,438.30
  4. Step 4: Simplify right side
    65,506.50x = 3,294,155,319.80
  5. Step 5: Solve for x
    x = 3,294,155,319.80/65,506.50
  6. Step 6: Final answer
    x = 50,287.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.