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Finding the Fourth Proportional to 46,978.31, 70,466.09 and 17,395.49

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Solution

The fourth proportional to 46,978.31, 70,466.09 and 17,395.49 is: 26,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.31 : 70,466.09 = 17,395.49 : x
  2. Step 2: Convert to fraction form
    46,978.31/70,466.09 = 17,395.49/x
  3. Step 3: Cross multiply
    46,978.31x = 70,466.09 × 17,395.49
  4. Step 4: Simplify right side
    46,978.31x = 1,225,792,253.12
  5. Step 5: Solve for x
    x = 1,225,792,253.12/46,978.31
  6. Step 6: Final answer
    x = 26,092.73

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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.