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Finding the Fourth Proportional to 46,224, 69,347.52 and 13,392

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Solution

The fourth proportional to 46,224, 69,347.52 and 13,392 is: 20,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 69,347.52 = 13,392 : x
  2. Step 2: Convert to fraction form
    46,224/69,347.52 = 13,392/x
  3. Step 3: Cross multiply
    46,224x = 69,347.52 × 13,392
  4. Step 4: Simplify right side
    46,224x = 928,701,987.84
  5. Step 5: Solve for x
    x = 928,701,987.84/46,224
  6. Step 6: Final answer
    x = 20,091.34

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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.