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Finding the Fourth Proportional to 68,228.64, 94,154.40 and 38,016

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Solution

The fourth proportional to 68,228.64, 94,154.40 and 38,016 is: 52,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,228.64 : 94,154.40 = 38,016 : x
  2. Step 2: Convert to fraction form
    68,228.64/94,154.40 = 38,016/x
  3. Step 3: Cross multiply
    68,228.64x = 94,154.40 × 38,016
  4. Step 4: Simplify right side
    68,228.64x = 3,579,373,670.40
  5. Step 5: Solve for x
    x = 3,579,373,670.40/68,228.64
  6. Step 6: Final answer
    x = 52,461.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.