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Finding the Fourth Proportional to 47,578.60, 65,662.50 and 26,364.52

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Solution

The fourth proportional to 47,578.60, 65,662.50 and 26,364.52 is: 36,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.60 : 65,662.50 = 26,364.52 : x
  2. Step 2: Convert to fraction form
    47,578.60/65,662.50 = 26,364.52/x
  3. Step 3: Cross multiply
    47,578.60x = 65,662.50 × 26,364.52
  4. Step 4: Simplify right side
    47,578.60x = 1,731,160,294.50
  5. Step 5: Solve for x
    x = 1,731,160,294.50/47,578.60
  6. Step 6: Final answer
    x = 36,385.27

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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.