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Finding the Fourth Proportional to 42,795.83, 59,046.40 and 24,645.80

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Solution

The fourth proportional to 42,795.83, 59,046.40 and 24,645.80 is: 34,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795.83 : 59,046.40 = 24,645.80 : x
  2. Step 2: Convert to fraction form
    42,795.83/59,046.40 = 24,645.80/x
  3. Step 3: Cross multiply
    42,795.83x = 59,046.40 × 24,645.80
  4. Step 4: Simplify right side
    42,795.83x = 1,455,245,765.12
  5. Step 5: Solve for x
    x = 1,455,245,765.12/42,795.83
  6. Step 6: Final answer
    x = 34,004.38

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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.