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Finding the Fourth Proportional to 30,199.14, 45,306.72 and 10,477.65

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Solution

The fourth proportional to 30,199.14, 45,306.72 and 10,477.65 is: 15,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.14 : 45,306.72 = 10,477.65 : x
  2. Step 2: Convert to fraction form
    30,199.14/45,306.72 = 10,477.65/x
  3. Step 3: Cross multiply
    30,199.14x = 45,306.72 × 10,477.65
  4. Step 4: Simplify right side
    30,199.14x = 474,707,954.81
  5. Step 5: Solve for x
    x = 474,707,954.81/30,199.14
  6. Step 6: Final answer
    x = 15,719.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.