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Finding the Fourth Proportional to 78,033.78, 117,050.13 and 31,285.98

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Solution

The fourth proportional to 78,033.78, 117,050.13 and 31,285.98 is: 46,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.78 : 117,050.13 = 31,285.98 : x
  2. Step 2: Convert to fraction form
    78,033.78/117,050.13 = 31,285.98/x
  3. Step 3: Cross multiply
    78,033.78x = 117,050.13 × 31,285.98
  4. Step 4: Simplify right side
    78,033.78x = 3,662,028,026.18
  5. Step 5: Solve for x
    x = 3,662,028,026.18/78,033.78
  6. Step 6: Final answer
    x = 46,928.75

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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.