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Finding the Fourth Proportional to 46,612, 64,350.66 and 35,689.48

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Solution

The fourth proportional to 46,612, 64,350.66 and 35,689.48 is: 49,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,612 : 64,350.66 = 35,689.48 : x
  2. Step 2: Convert to fraction form
    46,612/64,350.66 = 35,689.48/x
  3. Step 3: Cross multiply
    46,612x = 64,350.66 × 35,689.48
  4. Step 4: Simplify right side
    46,612x = 2,296,641,593.06
  5. Step 5: Solve for x
    x = 2,296,641,593.06/46,612
  6. Step 6: Final answer
    x = 49,271.47

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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.