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Finding the Fourth Proportional to 83,880.64, 125,782.07 and 31,276.00

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Solution

The fourth proportional to 83,880.64, 125,782.07 and 31,276.00 is: 46,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.64 : 125,782.07 = 31,276.00 : x
  2. Step 2: Convert to fraction form
    83,880.64/125,782.07 = 31,276.00/x
  3. Step 3: Cross multiply
    83,880.64x = 125,782.07 × 31,276.00
  4. Step 4: Simplify right side
    83,880.64x = 3,933,959,578.53
  5. Step 5: Solve for x
    x = 3,933,959,578.53/83,880.64
  6. Step 6: Final answer
    x = 46,899.50

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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.