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Finding the Fourth Proportional to 65,698.16, 90,650.04 and 37,396.40

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Solution

The fourth proportional to 65,698.16, 90,650.04 and 37,396.40 is: 51,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.16 : 90,650.04 = 37,396.40 : x
  2. Step 2: Convert to fraction form
    65,698.16/90,650.04 = 37,396.40/x
  3. Step 3: Cross multiply
    65,698.16x = 90,650.04 × 37,396.40
  4. Step 4: Simplify right side
    65,698.16x = 3,389,985,155.86
  5. Step 5: Solve for x
    x = 3,389,985,155.86/65,698.16
  6. Step 6: Final answer
    x = 51,599.39

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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.