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Finding the Fourth Proportional to 69,207, 103,810.50 and 24,836.46

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Solution

The fourth proportional to 69,207, 103,810.50 and 24,836.46 is: 37,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207 : 103,810.50 = 24,836.46 : x
  2. Step 2: Convert to fraction form
    69,207/103,810.50 = 24,836.46/x
  3. Step 3: Cross multiply
    69,207x = 103,810.50 × 24,836.46
  4. Step 4: Simplify right side
    69,207x = 2,578,285,330.83
  5. Step 5: Solve for x
    x = 2,578,285,330.83/69,207
  6. Step 6: Final answer
    x = 37,254.69

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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.