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Finding the Fourth Proportional to 102,964.96, 154,287.46 and 49,599.46

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Solution

The fourth proportional to 102,964.96, 154,287.46 and 49,599.46 is: 74,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,964.96 : 154,287.46 = 49,599.46 : x
  2. Step 2: Convert to fraction form
    102,964.96/154,287.46 = 49,599.46/x
  3. Step 3: Cross multiply
    102,964.96x = 154,287.46 × 49,599.46
  4. Step 4: Simplify right side
    102,964.96x = 7,652,574,700.77
  5. Step 5: Solve for x
    x = 7,652,574,700.77/102,964.96
  6. Step 6: Final answer
    x = 74,322.13

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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.