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Finding the Fourth Proportional to 46,438, 64,084.70 and 25,217.26

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Solution

The fourth proportional to 46,438, 64,084.70 and 25,217.26 is: 34,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438 : 64,084.70 = 25,217.26 : x
  2. Step 2: Convert to fraction form
    46,438/64,084.70 = 25,217.26/x
  3. Step 3: Cross multiply
    46,438x = 64,084.70 × 25,217.26
  4. Step 4: Simplify right side
    46,438x = 1,616,040,541.92
  5. Step 5: Solve for x
    x = 1,616,040,541.92/46,438
  6. Step 6: Final answer
    x = 34,799.96

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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.