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Finding the Fourth Proportional to 46,435.50, 64,080.99 and 26,563.50

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Solution

The fourth proportional to 46,435.50, 64,080.99 and 26,563.50 is: 36,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,435.50 : 64,080.99 = 26,563.50 : x
  2. Step 2: Convert to fraction form
    46,435.50/64,080.99 = 26,563.50/x
  3. Step 3: Cross multiply
    46,435.50x = 64,080.99 × 26,563.50
  4. Step 4: Simplify right side
    46,435.50x = 1,702,215,377.87
  5. Step 5: Solve for x
    x = 1,702,215,377.87/46,435.50
  6. Step 6: Final answer
    x = 36,657.63

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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.