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Finding the Fourth Proportional to 68,205, 102,307.50 and 18,957

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Solution

The fourth proportional to 68,205, 102,307.50 and 18,957 is: 28,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,205 : 102,307.50 = 18,957 : x
  2. Step 2: Convert to fraction form
    68,205/102,307.50 = 18,957/x
  3. Step 3: Cross multiply
    68,205x = 102,307.50 × 18,957
  4. Step 4: Simplify right side
    68,205x = 1,939,443,277.50
  5. Step 5: Solve for x
    x = 1,939,443,277.50/68,205
  6. Step 6: Final answer
    x = 28,435.50

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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.