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Finding the Fourth Proportional to 37,410, 51,625.80 and 20,643

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Solution

The fourth proportional to 37,410, 51,625.80 and 20,643 is: 28,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410 : 51,625.80 = 20,643 : x
  2. Step 2: Convert to fraction form
    37,410/51,625.80 = 20,643/x
  3. Step 3: Cross multiply
    37,410x = 51,625.80 × 20,643
  4. Step 4: Simplify right side
    37,410x = 1,065,711,389.40
  5. Step 5: Solve for x
    x = 1,065,711,389.40/37,410
  6. Step 6: Final answer
    x = 28,487.34

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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.