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Finding the Fourth Proportional to 57,807.45, 86,599.80 and 31,087.98

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Solution

The fourth proportional to 57,807.45, 86,599.80 and 31,087.98 is: 46,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.45 : 86,599.80 = 31,087.98 : x
  2. Step 2: Convert to fraction form
    57,807.45/86,599.80 = 31,087.98/x
  3. Step 3: Cross multiply
    57,807.45x = 86,599.80 × 31,087.98
  4. Step 4: Simplify right side
    57,807.45x = 2,692,212,850.40
  5. Step 5: Solve for x
    x = 2,692,212,850.40/57,807.45
  6. Step 6: Final answer
    x = 46,572.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.