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Finding the Fourth Proportional to 109,328.42, 163,927.83 and 38,216.90

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Solution

The fourth proportional to 109,328.42, 163,927.83 and 38,216.90 is: 57,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,328.42 : 163,927.83 = 38,216.90 : x
  2. Step 2: Convert to fraction form
    109,328.42/163,927.83 = 38,216.90/x
  3. Step 3: Cross multiply
    109,328.42x = 163,927.83 × 38,216.90
  4. Step 4: Simplify right side
    109,328.42x = 6,264,813,486.33
  5. Step 5: Solve for x
    x = 6,264,813,486.33/109,328.42
  6. Step 6: Final answer
    x = 57,302.70

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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.