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Finding the Fourth Proportional to 94,782.36, 130,799.42 and 54,494.18

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Solution

The fourth proportional to 94,782.36, 130,799.42 and 54,494.18 is: 75,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,782.36 : 130,799.42 = 54,494.18 : x
  2. Step 2: Convert to fraction form
    94,782.36/130,799.42 = 54,494.18/x
  3. Step 3: Cross multiply
    94,782.36x = 130,799.42 × 54,494.18
  4. Step 4: Simplify right side
    94,782.36x = 7,127,806,483.38
  5. Step 5: Solve for x
    x = 7,127,806,483.38/94,782.36
  6. Step 6: Final answer
    x = 75,201.83

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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.