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Finding the Fourth Proportional to 30,577, 45,866.85 and 8,389.87

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Solution

The fourth proportional to 30,577, 45,866.85 and 8,389.87 is: 12,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577 : 45,866.85 = 8,389.87 : x
  2. Step 2: Convert to fraction form
    30,577/45,866.85 = 8,389.87/x
  3. Step 3: Cross multiply
    30,577x = 45,866.85 × 8,389.87
  4. Step 4: Simplify right side
    30,577x = 384,816,908.81
  5. Step 5: Solve for x
    x = 384,816,908.81/30,577
  6. Step 6: Final answer
    x = 12,585.18

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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.