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Finding the Fourth Proportional to 130,627.44, 195,963.84 and 47,502

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Solution

The fourth proportional to 130,627.44, 195,963.84 and 47,502 is: 71,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,627.44 : 195,963.84 = 47,502 : x
  2. Step 2: Convert to fraction form
    130,627.44/195,963.84 = 47,502/x
  3. Step 3: Cross multiply
    130,627.44x = 195,963.84 × 47,502
  4. Step 4: Simplify right side
    130,627.44x = 9,308,674,327.68
  5. Step 5: Solve for x
    x = 9,308,674,327.68/130,627.44
  6. Step 6: Final answer
    x = 71,261.25

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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.