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Finding the Fourth Proportional to 46,978.02, 70,466.90 and 11,917.58

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Solution

The fourth proportional to 46,978.02, 70,466.90 and 11,917.58 is: 17,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.02 : 70,466.90 = 11,917.58 : x
  2. Step 2: Convert to fraction form
    46,978.02/70,466.90 = 11,917.58/x
  3. Step 3: Cross multiply
    46,978.02x = 70,466.90 × 11,917.58
  4. Step 4: Simplify right side
    46,978.02x = 839,794,506.18
  5. Step 5: Solve for x
    x = 839,794,506.18/46,978.02
  6. Step 6: Final answer
    x = 17,876.33

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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.