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Finding the Fourth Proportional to 89,668.04, 123,709.56 and 59,468

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Solution

The fourth proportional to 89,668.04, 123,709.56 and 59,468 is: 82,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,668.04 : 123,709.56 = 59,468 : x
  2. Step 2: Convert to fraction form
    89,668.04/123,709.56 = 59,468/x
  3. Step 3: Cross multiply
    89,668.04x = 123,709.56 × 59,468
  4. Step 4: Simplify right side
    89,668.04x = 7,356,760,114.08
  5. Step 5: Solve for x
    x = 7,356,760,114.08/89,668.04
  6. Step 6: Final answer
    x = 82,044.40

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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.