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Finding the Fourth Proportional to 70,297.37, 105,446.05 and 17,710.95

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Solution

The fourth proportional to 70,297.37, 105,446.05 and 17,710.95 is: 26,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297.37 : 105,446.05 = 17,710.95 : x
  2. Step 2: Convert to fraction form
    70,297.37/105,446.05 = 17,710.95/x
  3. Step 3: Cross multiply
    70,297.37x = 105,446.05 × 17,710.95
  4. Step 4: Simplify right side
    70,297.37x = 1,867,549,719.25
  5. Step 5: Solve for x
    x = 1,867,549,719.25/70,297.37
  6. Step 6: Final answer
    x = 26,566.42

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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.