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Finding the Fourth Proportional to 37,509.85, 51,547.13 and 35,775.23

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Solution

The fourth proportional to 37,509.85, 51,547.13 and 35,775.23 is: 49,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.85 : 51,547.13 = 35,775.23 : x
  2. Step 2: Convert to fraction form
    37,509.85/51,547.13 = 35,775.23/x
  3. Step 3: Cross multiply
    37,509.85x = 51,547.13 × 35,775.23
  4. Step 4: Simplify right side
    37,509.85x = 1,844,110,431.59
  5. Step 5: Solve for x
    x = 1,844,110,431.59/37,509.85
  6. Step 6: Final answer
    x = 49,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.