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Finding the Fourth Proportional to 75,805.80, 113,583.56 and 46,133.88

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Solution

The fourth proportional to 75,805.80, 113,583.56 and 46,133.88 is: 69,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,805.80 : 113,583.56 = 46,133.88 : x
  2. Step 2: Convert to fraction form
    75,805.80/113,583.56 = 46,133.88/x
  3. Step 3: Cross multiply
    75,805.80x = 113,583.56 × 46,133.88
  4. Step 4: Simplify right side
    75,805.80x = 5,240,050,096.34
  5. Step 5: Solve for x
    x = 5,240,050,096.34/75,805.80
  6. Step 6: Final answer
    x = 69,124.66

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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.