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Finding the Fourth Proportional to 31,216.50, 43,078.95 and 20,038.50

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Solution

The fourth proportional to 31,216.50, 43,078.95 and 20,038.50 is: 27,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.50 : 43,078.95 = 20,038.50 : x
  2. Step 2: Convert to fraction form
    31,216.50/43,078.95 = 20,038.50/x
  3. Step 3: Cross multiply
    31,216.50x = 43,078.95 × 20,038.50
  4. Step 4: Simplify right side
    31,216.50x = 863,237,539.58
  5. Step 5: Solve for x
    x = 863,237,539.58/31,216.50
  6. Step 6: Final answer
    x = 27,653.25

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1.5x scale

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.