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Finding the Fourth Proportional to 46,494.60, 64,162.49 and 25,274.02

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Solution

The fourth proportional to 46,494.60, 64,162.49 and 25,274.02 is: 34,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494.60 : 64,162.49 = 25,274.02 : x
  2. Step 2: Convert to fraction form
    46,494.60/64,162.49 = 25,274.02/x
  3. Step 3: Cross multiply
    46,494.60x = 64,162.49 × 25,274.02
  4. Step 4: Simplify right side
    46,494.60x = 1,621,643,734.70
  5. Step 5: Solve for x
    x = 1,621,643,734.70/46,494.60
  6. Step 6: Final answer
    x = 34,878.11

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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.