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Finding the Fourth Proportional to 130,465.50, 195,698.25 and 31,969.50

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Solution

The fourth proportional to 130,465.50, 195,698.25 and 31,969.50 is: 47,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.50 : 195,698.25 = 31,969.50 : x
  2. Step 2: Convert to fraction form
    130,465.50/195,698.25 = 31,969.50/x
  3. Step 3: Cross multiply
    130,465.50x = 195,698.25 × 31,969.50
  4. Step 4: Simplify right side
    130,465.50x = 6,256,375,203.38
  5. Step 5: Solve for x
    x = 6,256,375,203.38/130,465.50
  6. Step 6: Final answer
    x = 47,954.25

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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.