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Finding the Fourth Proportional to 105,668.58, 158,465.21 and 34,574.07

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Solution

The fourth proportional to 105,668.58, 158,465.21 and 34,574.07 is: 51,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.58 : 158,465.21 = 34,574.07 : x
  2. Step 2: Convert to fraction form
    105,668.58/158,465.21 = 34,574.07/x
  3. Step 3: Cross multiply
    105,668.58x = 158,465.21 × 34,574.07
  4. Step 4: Simplify right side
    105,668.58x = 5,478,787,090.23
  5. Step 5: Solve for x
    x = 5,478,787,090.23/105,668.58
  6. Step 6: Final answer
    x = 51,848.78

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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.