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Finding the Fourth Proportional to 109,924.82, 164,893.61 and 31,032.44

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Solution

The fourth proportional to 109,924.82, 164,893.61 and 31,032.44 is: 46,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,924.82 : 164,893.61 = 31,032.44 : x
  2. Step 2: Convert to fraction form
    109,924.82/164,893.61 = 31,032.44/x
  3. Step 3: Cross multiply
    109,924.82x = 164,893.61 × 31,032.44
  4. Step 4: Simplify right side
    109,924.82x = 5,117,051,058.71
  5. Step 5: Solve for x
    x = 5,117,051,058.71/109,924.82
  6. Step 6: Final answer
    x = 46,550.46

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1.5x scale

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.