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Finding the Fourth Proportional to 53,002.84, 73,143.78 and 29,131

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Solution

The fourth proportional to 53,002.84, 73,143.78 and 29,131 is: 40,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002.84 : 73,143.78 = 29,131 : x
  2. Step 2: Convert to fraction form
    53,002.84/73,143.78 = 29,131/x
  3. Step 3: Cross multiply
    53,002.84x = 73,143.78 × 29,131
  4. Step 4: Simplify right side
    53,002.84x = 2,130,751,455.18
  5. Step 5: Solve for x
    x = 2,130,751,455.18/53,002.84
  6. Step 6: Final answer
    x = 40,200.70

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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.