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Finding the Fourth Proportional to 36,002.54, 49,323.76 and 34,656.02

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Solution

The fourth proportional to 36,002.54, 49,323.76 and 34,656.02 is: 47,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002.54 : 49,323.76 = 34,656.02 : x
  2. Step 2: Convert to fraction form
    36,002.54/49,323.76 = 34,656.02/x
  3. Step 3: Cross multiply
    36,002.54x = 49,323.76 × 34,656.02
  4. Step 4: Simplify right side
    36,002.54x = 1,709,365,213.04
  5. Step 5: Solve for x
    x = 1,709,365,213.04/36,002.54
  6. Step 6: Final answer
    x = 47,479.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.