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Finding the Fourth Proportional to 103,042.78, 154,574.64 and 35,566.03

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Solution

The fourth proportional to 103,042.78, 154,574.64 and 35,566.03 is: 53,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042.78 : 154,574.64 = 35,566.03 : x
  2. Step 2: Convert to fraction form
    103,042.78/154,574.64 = 35,566.03/x
  3. Step 3: Cross multiply
    103,042.78x = 154,574.64 × 35,566.03
  4. Step 4: Simplify right side
    103,042.78x = 5,497,606,283.48
  5. Step 5: Solve for x
    x = 5,497,606,283.48/103,042.78
  6. Step 6: Final answer
    x = 53,352.66

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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.