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Finding the Fourth Proportional to 34,042.74, 46,978.14 and 18,935.43

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Solution

The fourth proportional to 34,042.74, 46,978.14 and 18,935.43 is: 26,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.74 : 46,978.14 = 18,935.43 : x
  2. Step 2: Convert to fraction form
    34,042.74/46,978.14 = 18,935.43/x
  3. Step 3: Cross multiply
    34,042.74x = 46,978.14 × 18,935.43
  4. Step 4: Simplify right side
    34,042.74x = 889,551,281.50
  5. Step 5: Solve for x
    x = 889,551,281.50/34,042.74
  6. Step 6: Final answer
    x = 26,130.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.