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Finding the Fourth Proportional to 36,701.60, 50,620.02 and 24,746

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Solution

The fourth proportional to 36,701.60, 50,620.02 and 24,746 is: 34,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701.60 : 50,620.02 = 24,746 : x
  2. Step 2: Convert to fraction form
    36,701.60/50,620.02 = 24,746/x
  3. Step 3: Cross multiply
    36,701.60x = 50,620.02 × 24,746
  4. Step 4: Simplify right side
    36,701.60x = 1,252,643,014.92
  5. Step 5: Solve for x
    x = 1,252,643,014.92/36,701.60
  6. Step 6: Final answer
    x = 34,130.47

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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.