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Finding the Fourth Proportional to 109,908.90, 164,844.90 and 31,004.64

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Solution

The fourth proportional to 109,908.90, 164,844.90 and 31,004.64 is: 46,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.90 : 164,844.90 = 31,004.64 : x
  2. Step 2: Convert to fraction form
    109,908.90/164,844.90 = 31,004.64/x
  3. Step 3: Cross multiply
    109,908.90x = 164,844.90 × 31,004.64
  4. Step 4: Simplify right side
    109,908.90x = 5,110,956,780.34
  5. Step 5: Solve for x
    x = 5,110,956,780.34/109,908.90
  6. Step 6: Final answer
    x = 46,501.76

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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.