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Finding the Fourth Proportional to 114,705.81, 172,058.76 and 35,826.21

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Solution

The fourth proportional to 114,705.81, 172,058.76 and 35,826.21 is: 53,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705.81 : 172,058.76 = 35,826.21 : x
  2. Step 2: Convert to fraction form
    114,705.81/172,058.76 = 35,826.21/x
  3. Step 3: Cross multiply
    114,705.81x = 172,058.76 × 35,826.21
  4. Step 4: Simplify right side
    114,705.81x = 6,164,213,268.10
  5. Step 5: Solve for x
    x = 6,164,213,268.10/114,705.81
  6. Step 6: Final answer
    x = 53,739.33

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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.