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Finding the Fourth Proportional to 109,058.94, 163,657.53 and 56,468.34

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Solution

The fourth proportional to 109,058.94, 163,657.53 and 56,468.34 is: 84,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,058.94 : 163,657.53 = 56,468.34 : x
  2. Step 2: Convert to fraction form
    109,058.94/163,657.53 = 56,468.34/x
  3. Step 3: Cross multiply
    109,058.94x = 163,657.53 × 56,468.34
  4. Step 4: Simplify right side
    109,058.94x = 9,241,469,047.60
  5. Step 5: Solve for x
    x = 9,241,469,047.60/109,058.94
  6. Step 6: Final answer
    x = 84,738.30

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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.