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Finding the Fourth Proportional to 57,119.07, 78,813.38 and 36,973.16

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Solution

The fourth proportional to 57,119.07, 78,813.38 and 36,973.16 is: 51,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,119.07 : 78,813.38 = 36,973.16 : x
  2. Step 2: Convert to fraction form
    57,119.07/78,813.38 = 36,973.16/x
  3. Step 3: Cross multiply
    57,119.07x = 78,813.38 × 36,973.16
  4. Step 4: Simplify right side
    57,119.07x = 2,913,979,129.95
  5. Step 5: Solve for x
    x = 2,913,979,129.95/57,119.07
  6. Step 6: Final answer
    x = 51,015.87

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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.