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Finding the Fourth Proportional to 46,659.78, 69,878.16 and 25,568.10

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Solution

The fourth proportional to 46,659.78, 69,878.16 and 25,568.10 is: 38,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,659.78 : 69,878.16 = 25,568.10 : x
  2. Step 2: Convert to fraction form
    46,659.78/69,878.16 = 25,568.10/x
  3. Step 3: Cross multiply
    46,659.78x = 69,878.16 × 25,568.10
  4. Step 4: Simplify right side
    46,659.78x = 1,786,651,782.70
  5. Step 5: Solve for x
    x = 1,786,651,782.70/46,659.78
  6. Step 6: Final answer
    x = 38,291.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.