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Finding the Fourth Proportional to 42,509.80, 59,098.99 and 42,509.80

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Solution

The fourth proportional to 42,509.80, 59,098.99 and 42,509.80 is: 59,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.80 : 59,098.99 = 42,509.80 : x
  2. Step 2: Convert to fraction form
    42,509.80/59,098.99 = 42,509.80/x
  3. Step 3: Cross multiply
    42,509.80x = 59,098.99 × 42,509.80
  4. Step 4: Simplify right side
    42,509.80x = 2,512,286,245.10
  5. Step 5: Solve for x
    x = 2,512,286,245.10/42,509.80
  6. Step 6: Final answer
    x = 59,098.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.