Home / 109,957.06-164,942.25-31,077.19

Finding the Fourth Proportional to 109,957.06, 164,942.25 and 31,077.19

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Solution

The fourth proportional to 109,957.06, 164,942.25 and 31,077.19 is: 46,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,957.06 : 164,942.25 = 31,077.19 : x
  2. Step 2: Convert to fraction form
    109,957.06/164,942.25 = 31,077.19/x
  3. Step 3: Cross multiply
    109,957.06x = 164,942.25 × 31,077.19
  4. Step 4: Simplify right side
    109,957.06x = 5,125,941,642.28
  5. Step 5: Solve for x
    x = 5,125,941,642.28/109,957.06
  6. Step 6: Final answer
    x = 46,617.67

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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.