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Finding the Fourth Proportional to 75,806.80, 113,441.40 and 66,053.20

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Solution

The fourth proportional to 75,806.80, 113,441.40 and 66,053.20 is: 98,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806.80 : 113,441.40 = 66,053.20 : x
  2. Step 2: Convert to fraction form
    75,806.80/113,441.40 = 66,053.20/x
  3. Step 3: Cross multiply
    75,806.80x = 113,441.40 × 66,053.20
  4. Step 4: Simplify right side
    75,806.80x = 7,493,167,482.48
  5. Step 5: Solve for x
    x = 7,493,167,482.48/75,806.80
  6. Step 6: Final answer
    x = 98,845.58

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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.