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Finding the Fourth Proportional to 47,224.68, 65,155.41 and 26,803.41

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Solution

The fourth proportional to 47,224.68, 65,155.41 and 26,803.41 is: 36,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224.68 : 65,155.41 = 26,803.41 : x
  2. Step 2: Convert to fraction form
    47,224.68/65,155.41 = 26,803.41/x
  3. Step 3: Cross multiply
    47,224.68x = 65,155.41 × 26,803.41
  4. Step 4: Simplify right side
    47,224.68x = 1,746,386,923.62
  5. Step 5: Solve for x
    x = 1,746,386,923.62/47,224.68
  6. Step 6: Final answer
    x = 36,980.39

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Why These Related Problems?

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