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Finding the Fourth Proportional to 47,670.19, 71,509.50 and 17,684.77

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Solution

The fourth proportional to 47,670.19, 71,509.50 and 17,684.77 is: 26,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670.19 : 71,509.50 = 17,684.77 : x
  2. Step 2: Convert to fraction form
    47,670.19/71,509.50 = 17,684.77/x
  3. Step 3: Cross multiply
    47,670.19x = 71,509.50 × 17,684.77
  4. Step 4: Simplify right side
    47,670.19x = 1,264,629,239.09
  5. Step 5: Solve for x
    x = 1,264,629,239.09/47,670.19
  6. Step 6: Final answer
    x = 26,528.72

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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.