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Finding the Fourth Proportional to 47,265.50, 70,909.77 and 14,433.50

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Solution

The fourth proportional to 47,265.50, 70,909.77 and 14,433.50 is: 21,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265.50 : 70,909.77 = 14,433.50 : x
  2. Step 2: Convert to fraction form
    47,265.50/70,909.77 = 14,433.50/x
  3. Step 3: Cross multiply
    47,265.50x = 70,909.77 × 14,433.50
  4. Step 4: Simplify right side
    47,265.50x = 1,023,476,165.30
  5. Step 5: Solve for x
    x = 1,023,476,165.30/47,265.50
  6. Step 6: Final answer
    x = 21,653.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.