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Finding the Fourth Proportional to 129,055.77, 193,583.34 and 34,295.49

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Solution

The fourth proportional to 129,055.77, 193,583.34 and 34,295.49 is: 51,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055.77 : 193,583.34 = 34,295.49 : x
  2. Step 2: Convert to fraction form
    129,055.77/193,583.34 = 34,295.49/x
  3. Step 3: Cross multiply
    129,055.77x = 193,583.34 × 34,295.49
  4. Step 4: Simplify right side
    129,055.77x = 6,639,035,501.14
  5. Step 5: Solve for x
    x = 6,639,035,501.14/129,055.77
  6. Step 6: Final answer
    x = 51,443.15

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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.