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Finding the Fourth Proportional to 51,807.26, 77,709.06 and 16,746

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Solution

The fourth proportional to 51,807.26, 77,709.06 and 16,746 is: 25,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.26 : 77,709.06 = 16,746 : x
  2. Step 2: Convert to fraction form
    51,807.26/77,709.06 = 16,746/x
  3. Step 3: Cross multiply
    51,807.26x = 77,709.06 × 16,746
  4. Step 4: Simplify right side
    51,807.26x = 1,301,315,918.76
  5. Step 5: Solve for x
    x = 1,301,315,918.76/51,807.26
  6. Step 6: Final answer
    x = 25,118.41

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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.