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Finding the Fourth Proportional to 109,707.93, 164,567.54 and 30,828.31

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Solution

The fourth proportional to 109,707.93, 164,567.54 and 30,828.31 is: 46,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,707.93 : 164,567.54 = 30,828.31 : x
  2. Step 2: Convert to fraction form
    109,707.93/164,567.54 = 30,828.31/x
  3. Step 3: Cross multiply
    109,707.93x = 164,567.54 × 30,828.31
  4. Step 4: Simplify right side
    109,707.93x = 5,073,338,573.50
  5. Step 5: Solve for x
    x = 5,073,338,573.50/109,707.93
  6. Step 6: Final answer
    x = 46,244.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.