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Finding the Fourth Proportional to 46,874.57, 64,686.87 and 25,653.78

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Solution

The fourth proportional to 46,874.57, 64,686.87 and 25,653.78 is: 35,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,874.57 : 64,686.87 = 25,653.78 : x
  2. Step 2: Convert to fraction form
    46,874.57/64,686.87 = 25,653.78/x
  3. Step 3: Cross multiply
    46,874.57x = 64,686.87 × 25,653.78
  4. Step 4: Simplify right side
    46,874.57x = 1,659,462,731.87
  5. Step 5: Solve for x
    x = 1,659,462,731.87/46,874.57
  6. Step 6: Final answer
    x = 35,402.20

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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.