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Finding the Fourth Proportional to 42,071.38, 58,048.14 and 25,714.44

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Solution

The fourth proportional to 42,071.38, 58,048.14 and 25,714.44 is: 35,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071.38 : 58,048.14 = 25,714.44 : x
  2. Step 2: Convert to fraction form
    42,071.38/58,048.14 = 25,714.44/x
  3. Step 3: Cross multiply
    42,071.38x = 58,048.14 × 25,714.44
  4. Step 4: Simplify right side
    42,071.38x = 1,492,675,413.14
  5. Step 5: Solve for x
    x = 1,492,675,413.14/42,071.38
  6. Step 6: Final answer
    x = 35,479.60

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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.