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Finding the Fourth Proportional to 69,178, 103,748.10 and 24,796.48

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Solution

The fourth proportional to 69,178, 103,748.10 and 24,796.48 is: 37,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,178 : 103,748.10 = 24,796.48 : x
  2. Step 2: Convert to fraction form
    69,178/103,748.10 = 24,796.48/x
  3. Step 3: Cross multiply
    69,178x = 103,748.10 × 24,796.48
  4. Step 4: Simplify right side
    69,178x = 2,572,587,686.69
  5. Step 5: Solve for x
    x = 2,572,587,686.69/69,178
  6. Step 6: Final answer
    x = 37,187.95

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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.