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Finding the Fourth Proportional to 37,412.94, 51,630.16 and 20,417.32

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Solution

The fourth proportional to 37,412.94, 51,630.16 and 20,417.32 is: 28,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.94 : 51,630.16 = 20,417.32 : x
  2. Step 2: Convert to fraction form
    37,412.94/51,630.16 = 20,417.32/x
  3. Step 3: Cross multiply
    37,412.94x = 51,630.16 × 20,417.32
  4. Step 4: Simplify right side
    37,412.94x = 1,054,149,318.25
  5. Step 5: Solve for x
    x = 1,054,149,318.25/37,412.94
  6. Step 6: Final answer
    x = 28,176.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.