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Finding the Fourth Proportional to 53,394.63, 73,678.10 and 29,517.99

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Solution

The fourth proportional to 53,394.63, 73,678.10 and 29,517.99 is: 40,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.63 : 73,678.10 = 29,517.99 : x
  2. Step 2: Convert to fraction form
    53,394.63/73,678.10 = 29,517.99/x
  3. Step 3: Cross multiply
    53,394.63x = 73,678.10 × 29,517.99
  4. Step 4: Simplify right side
    53,394.63x = 2,174,829,271.43
  5. Step 5: Solve for x
    x = 2,174,829,271.43/53,394.63
  6. Step 6: Final answer
    x = 40,731.24

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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.