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Finding the Fourth Proportional to 94,400.58, 130,273.74 and 51,960

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Solution

The fourth proportional to 94,400.58, 130,273.74 and 51,960 is: 71,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,400.58 : 130,273.74 = 51,960 : x
  2. Step 2: Convert to fraction form
    94,400.58/130,273.74 = 51,960/x
  3. Step 3: Cross multiply
    94,400.58x = 130,273.74 × 51,960
  4. Step 4: Simplify right side
    94,400.58x = 6,769,023,530.40
  5. Step 5: Solve for x
    x = 6,769,023,530.40/94,400.58
  6. Step 6: Final answer
    x = 71,705.32

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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.