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Finding the Fourth Proportional to 30,124.36, 45,191.40 and 9,343

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Solution

The fourth proportional to 30,124.36, 45,191.40 and 9,343 is: 14,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,124.36 : 45,191.40 = 9,343 : x
  2. Step 2: Convert to fraction form
    30,124.36/45,191.40 = 9,343/x
  3. Step 3: Cross multiply
    30,124.36x = 45,191.40 × 9,343
  4. Step 4: Simplify right side
    30,124.36x = 422,223,250.20
  5. Step 5: Solve for x
    x = 422,223,250.20/30,124.36
  6. Step 6: Final answer
    x = 14,016.01

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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.