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Finding the Fourth Proportional to 86,783.75, 130,125.81 and 34,164.53

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Solution

The fourth proportional to 86,783.75, 130,125.81 and 34,164.53 is: 51,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,783.75 : 130,125.81 = 34,164.53 : x
  2. Step 2: Convert to fraction form
    86,783.75/130,125.81 = 34,164.53/x
  3. Step 3: Cross multiply
    86,783.75x = 130,125.81 × 34,164.53
  4. Step 4: Simplify right side
    86,783.75x = 4,445,687,139.52
  5. Step 5: Solve for x
    x = 4,445,687,139.52/86,783.75
  6. Step 6: Final answer
    x = 51,227.18

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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.