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Finding the Fourth Proportional to 30,596.34, 45,911.24 and 11,877.12

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Solution

The fourth proportional to 30,596.34, 45,911.24 and 11,877.12 is: 17,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.34 : 45,911.24 = 11,877.12 : x
  2. Step 2: Convert to fraction form
    30,596.34/45,911.24 = 11,877.12/x
  3. Step 3: Cross multiply
    30,596.34x = 45,911.24 × 11,877.12
  4. Step 4: Simplify right side
    30,596.34x = 545,293,306.83
  5. Step 5: Solve for x
    x = 545,293,306.83/30,596.34
  6. Step 6: Final answer
    x = 17,822.17

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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.