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Finding the Fourth Proportional to 130,464.42, 195,696.63 and 31,968.42

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Solution

The fourth proportional to 130,464.42, 195,696.63 and 31,968.42 is: 47,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,464.42 : 195,696.63 = 31,968.42 : x
  2. Step 2: Convert to fraction form
    130,464.42/195,696.63 = 31,968.42/x
  3. Step 3: Cross multiply
    130,464.42x = 195,696.63 × 31,968.42
  4. Step 4: Simplify right side
    130,464.42x = 6,256,112,060.42
  5. Step 5: Solve for x
    x = 6,256,112,060.42/130,464.42
  6. Step 6: Final answer
    x = 47,952.63

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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.