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Finding the Fourth Proportional to 30,133.50, 45,200.25 and 11,665.50

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Solution

The fourth proportional to 30,133.50, 45,200.25 and 11,665.50 is: 17,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.50 : 45,200.25 = 11,665.50 : x
  2. Step 2: Convert to fraction form
    30,133.50/45,200.25 = 11,665.50/x
  3. Step 3: Cross multiply
    30,133.50x = 45,200.25 × 11,665.50
  4. Step 4: Simplify right side
    30,133.50x = 527,283,516.38
  5. Step 5: Solve for x
    x = 527,283,516.38/30,133.50
  6. Step 6: Final answer
    x = 17,498.25

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1.5x scale

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.