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Finding the Fourth Proportional to 53,123.63, 79,699.14 and 19,843.92

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Solution

The fourth proportional to 53,123.63, 79,699.14 and 19,843.92 is: 29,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,123.63 : 79,699.14 = 19,843.92 : x
  2. Step 2: Convert to fraction form
    53,123.63/79,699.14 = 19,843.92/x
  3. Step 3: Cross multiply
    53,123.63x = 79,699.14 × 19,843.92
  4. Step 4: Simplify right side
    53,123.63x = 1,581,543,358.23
  5. Step 5: Solve for x
    x = 1,581,543,358.23/53,123.63
  6. Step 6: Final answer
    x = 29,771.00

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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.