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Finding the Fourth Proportional to 123,775.42, 185,672.94 and 35,029.48

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Solution

The fourth proportional to 123,775.42, 185,672.94 and 35,029.48 is: 52,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,775.42 : 185,672.94 = 35,029.48 : x
  2. Step 2: Convert to fraction form
    123,775.42/185,672.94 = 35,029.48/x
  3. Step 3: Cross multiply
    123,775.42x = 185,672.94 × 35,029.48
  4. Step 4: Simplify right side
    123,775.42x = 6,504,026,538.27
  5. Step 5: Solve for x
    x = 6,504,026,538.27/123,775.42
  6. Step 6: Final answer
    x = 52,547.00

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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.