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Finding the Fourth Proportional to 47,200.90, 65,137.89 and 25,981.06

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Solution

The fourth proportional to 47,200.90, 65,137.89 and 25,981.06 is: 35,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.90 : 65,137.89 = 25,981.06 : x
  2. Step 2: Convert to fraction form
    47,200.90/65,137.89 = 25,981.06/x
  3. Step 3: Cross multiply
    47,200.90x = 65,137.89 × 25,981.06
  4. Step 4: Simplify right side
    47,200.90x = 1,692,351,428.36
  5. Step 5: Solve for x
    x = 1,692,351,428.36/47,200.90
  6. Step 6: Final answer
    x = 35,854.22

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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.