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Finding the Fourth Proportional to 34,807.50, 52,220.16 and 11,434.14

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Solution

The fourth proportional to 34,807.50, 52,220.16 and 11,434.14 is: 17,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,807.50 : 52,220.16 = 11,434.14 : x
  2. Step 2: Convert to fraction form
    34,807.50/52,220.16 = 11,434.14/x
  3. Step 3: Cross multiply
    34,807.50x = 52,220.16 × 11,434.14
  4. Step 4: Simplify right side
    34,807.50x = 597,092,620.26
  5. Step 5: Solve for x
    x = 597,092,620.26/34,807.50
  6. Step 6: Final answer
    x = 17,154.14

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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.