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Finding the Fourth Proportional to 46,906, 64,730.30 and 25,395.75

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Solution

The fourth proportional to 46,906, 64,730.30 and 25,395.75 is: 35,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906 : 64,730.30 = 25,395.75 : x
  2. Step 2: Convert to fraction form
    46,906/64,730.30 = 25,395.75/x
  3. Step 3: Cross multiply
    46,906x = 64,730.30 × 25,395.75
  4. Step 4: Simplify right side
    46,906x = 1,643,874,516.23
  5. Step 5: Solve for x
    x = 1,643,874,516.23/46,906
  6. Step 6: Final answer
    x = 35,046.15

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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.