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Finding the Fourth Proportional to 30,259.38, 45,389.09 and 9,484.50

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Solution

The fourth proportional to 30,259.38, 45,389.09 and 9,484.50 is: 14,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.38 : 45,389.09 = 9,484.50 : x
  2. Step 2: Convert to fraction form
    30,259.38/45,389.09 = 9,484.50/x
  3. Step 3: Cross multiply
    30,259.38x = 45,389.09 × 9,484.50
  4. Step 4: Simplify right side
    30,259.38x = 430,492,824.11
  5. Step 5: Solve for x
    x = 430,492,824.11/30,259.38
  6. Step 6: Final answer
    x = 14,226.76

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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.