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Finding the Fourth Proportional to 46,821.32, 70,268.88 and 20,544.20

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Solution

The fourth proportional to 46,821.32, 70,268.88 and 20,544.20 is: 30,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,821.32 : 70,268.88 = 20,544.20 : x
  2. Step 2: Convert to fraction form
    46,821.32/70,268.88 = 20,544.20/x
  3. Step 3: Cross multiply
    46,821.32x = 70,268.88 × 20,544.20
  4. Step 4: Simplify right side
    46,821.32x = 1,443,617,924.50
  5. Step 5: Solve for x
    x = 1,443,617,924.50/46,821.32
  6. Step 6: Final answer
    x = 30,832.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.