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Finding the Fourth Proportional to 94,905.20, 130,964.04 and 52,461

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Solution

The fourth proportional to 94,905.20, 130,964.04 and 52,461 is: 72,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,905.20 : 130,964.04 = 52,461 : x
  2. Step 2: Convert to fraction form
    94,905.20/130,964.04 = 52,461/x
  3. Step 3: Cross multiply
    94,905.20x = 130,964.04 × 52,461
  4. Step 4: Simplify right side
    94,905.20x = 6,870,504,502.44
  5. Step 5: Solve for x
    x = 6,870,504,502.44/94,905.20
  6. Step 6: Final answer
    x = 72,393.34

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