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Finding the Fourth Proportional to 34,616.60, 47,771.10 and 19,509.50

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Solution

The fourth proportional to 34,616.60, 47,771.10 and 19,509.50 is: 26,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.60 : 47,771.10 = 19,509.50 : x
  2. Step 2: Convert to fraction form
    34,616.60/47,771.10 = 19,509.50/x
  3. Step 3: Cross multiply
    34,616.60x = 47,771.10 × 19,509.50
  4. Step 4: Simplify right side
    34,616.60x = 931,990,275.45
  5. Step 5: Solve for x
    x = 931,990,275.45/34,616.60
  6. Step 6: Final answer
    x = 26,923.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.