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Finding the Fourth Proportional to 105,588.65, 158,349.85 and 34,495.08

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Solution

The fourth proportional to 105,588.65, 158,349.85 and 34,495.08 is: 51,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,588.65 : 158,349.85 = 34,495.08 : x
  2. Step 2: Convert to fraction form
    105,588.65/158,349.85 = 34,495.08/x
  3. Step 3: Cross multiply
    105,588.65x = 158,349.85 × 34,495.08
  4. Step 4: Simplify right side
    105,588.65x = 5,462,290,743.74
  5. Step 5: Solve for x
    x = 5,462,290,743.74/105,588.65
  6. Step 6: Final answer
    x = 51,731.80

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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.