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Finding the Fourth Proportional to 83,170.95, 114,762.02 and 47,361.51

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Solution

The fourth proportional to 83,170.95, 114,762.02 and 47,361.51 is: 65,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.95 : 114,762.02 = 47,361.51 : x
  2. Step 2: Convert to fraction form
    83,170.95/114,762.02 = 47,361.51/x
  3. Step 3: Cross multiply
    83,170.95x = 114,762.02 × 47,361.51
  4. Step 4: Simplify right side
    83,170.95x = 5,435,301,984.04
  5. Step 5: Solve for x
    x = 5,435,301,984.04/83,170.95
  6. Step 6: Final answer
    x = 65,350.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.