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Finding the Fourth Proportional to 123,775.92, 185,673.69 and 35,029.98

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Solution

The fourth proportional to 123,775.92, 185,673.69 and 35,029.98 is: 52,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,775.92 : 185,673.69 = 35,029.98 : x
  2. Step 2: Convert to fraction form
    123,775.92/185,673.69 = 35,029.98/x
  3. Step 3: Cross multiply
    123,775.92x = 185,673.69 × 35,029.98
  4. Step 4: Simplify right side
    123,775.92x = 6,504,145,647.23
  5. Step 5: Solve for x
    x = 6,504,145,647.23/123,775.92
  6. Step 6: Final answer
    x = 52,547.75

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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.