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Finding the Fourth Proportional to 25,047, 37,583.46 and 12,735

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Solution

The fourth proportional to 25,047, 37,583.46 and 12,735 is: 19,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 37,583.46 = 12,735 : x
  2. Step 2: Convert to fraction form
    25,047/37,583.46 = 12,735/x
  3. Step 3: Cross multiply
    25,047x = 37,583.46 × 12,735
  4. Step 4: Simplify right side
    25,047x = 478,625,363.10
  5. Step 5: Solve for x
    x = 478,625,363.10/25,047
  6. Step 6: Final answer
    x = 19,109.09

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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.