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Finding the Fourth Proportional to 47,043.30, 64,920.49 and 25,824.50

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Solution

The fourth proportional to 47,043.30, 64,920.49 and 25,824.50 is: 35,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,043.30 : 64,920.49 = 25,824.50 : x
  2. Step 2: Convert to fraction form
    47,043.30/64,920.49 = 25,824.50/x
  3. Step 3: Cross multiply
    47,043.30x = 64,920.49 × 25,824.50
  4. Step 4: Simplify right side
    47,043.30x = 1,676,539,194.01
  5. Step 5: Solve for x
    x = 1,676,539,194.01/47,043.30
  6. Step 6: Final answer
    x = 35,638.21

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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.