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Finding the Fourth Proportional to 53,449.46, 73,768.04 and 30,784.04

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Solution

The fourth proportional to 53,449.46, 73,768.04 and 30,784.04 is: 42,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449.46 : 73,768.04 = 30,784.04 : x
  2. Step 2: Convert to fraction form
    53,449.46/73,768.04 = 30,784.04/x
  3. Step 3: Cross multiply
    53,449.46x = 73,768.04 × 30,784.04
  4. Step 4: Simplify right side
    53,449.46x = 2,270,877,771.32
  5. Step 5: Solve for x
    x = 2,270,877,771.32/53,449.46
  6. Step 6: Final answer
    x = 42,486.45

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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.