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Finding the Fourth Proportional to 42,841.58, 59,121.38 and 23,978.70

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Solution

The fourth proportional to 42,841.58, 59,121.38 and 23,978.70 is: 33,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,841.58 : 59,121.38 = 23,978.70 : x
  2. Step 2: Convert to fraction form
    42,841.58/59,121.38 = 23,978.70/x
  3. Step 3: Cross multiply
    42,841.58x = 59,121.38 × 23,978.70
  4. Step 4: Simplify right side
    42,841.58x = 1,417,653,714.71
  5. Step 5: Solve for x
    x = 1,417,653,714.71/42,841.58
  6. Step 6: Final answer
    x = 33,090.61

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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.