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Finding the Fourth Proportional to 65,464, 90,340.32 and 35,656

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Solution

The fourth proportional to 65,464, 90,340.32 and 35,656 is: 49,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464 : 90,340.32 = 35,656 : x
  2. Step 2: Convert to fraction form
    65,464/90,340.32 = 35,656/x
  3. Step 3: Cross multiply
    65,464x = 90,340.32 × 35,656
  4. Step 4: Simplify right side
    65,464x = 3,221,174,449.92
  5. Step 5: Solve for x
    x = 3,221,174,449.92/65,464
  6. Step 6: Final answer
    x = 49,205.28

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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.