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Finding the Fourth Proportional to 51,813.30, 77,718.06 and 16,752

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Solution

The fourth proportional to 51,813.30, 77,718.06 and 16,752 is: 25,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.30 : 77,718.06 = 16,752 : x
  2. Step 2: Convert to fraction form
    51,813.30/77,718.06 = 16,752/x
  3. Step 3: Cross multiply
    51,813.30x = 77,718.06 × 16,752
  4. Step 4: Simplify right side
    51,813.30x = 1,301,932,941.12
  5. Step 5: Solve for x
    x = 1,301,932,941.12/51,813.30
  6. Step 6: Final answer
    x = 25,127.39

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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.