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Finding the Fourth Proportional to 46,496.38, 64,165.42 and 25,275.64

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Solution

The fourth proportional to 46,496.38, 64,165.42 and 25,275.64 is: 34,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496.38 : 64,165.42 = 25,275.64 : x
  2. Step 2: Convert to fraction form
    46,496.38/64,165.42 = 25,275.64/x
  3. Step 3: Cross multiply
    46,496.38x = 64,165.42 × 25,275.64
  4. Step 4: Simplify right side
    46,496.38x = 1,621,822,056.37
  5. Step 5: Solve for x
    x = 1,621,822,056.37/46,496.38
  6. Step 6: Final answer
    x = 34,880.61

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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.