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Finding the Fourth Proportional to 42,830.25, 64,169.06 and 36,526.31

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Solution

The fourth proportional to 42,830.25, 64,169.06 and 36,526.31 is: 54,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.25 : 64,169.06 = 36,526.31 : x
  2. Step 2: Convert to fraction form
    42,830.25/64,169.06 = 36,526.31/x
  3. Step 3: Cross multiply
    42,830.25x = 64,169.06 × 36,526.31
  4. Step 4: Simplify right side
    42,830.25x = 2,343,858,474.49
  5. Step 5: Solve for x
    x = 2,343,858,474.49/42,830.25
  6. Step 6: Final answer
    x = 54,724.37

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