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Finding the Fourth Proportional to 42,817.80, 59,087.36 and 23,698.38

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Solution

The fourth proportional to 42,817.80, 59,087.36 and 23,698.38 is: 32,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.80 : 59,087.36 = 23,698.38 : x
  2. Step 2: Convert to fraction form
    42,817.80/59,087.36 = 23,698.38/x
  3. Step 3: Cross multiply
    42,817.80x = 59,087.36 × 23,698.38
  4. Step 4: Simplify right side
    42,817.80x = 1,400,274,710.48
  5. Step 5: Solve for x
    x = 1,400,274,710.48/42,817.80
  6. Step 6: Final answer
    x = 32,703.10

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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.