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Finding the Fourth Proportional to 120,674.88, 181,021.50 and 31,926.06

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Solution

The fourth proportional to 120,674.88, 181,021.50 and 31,926.06 is: 47,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,674.88 : 181,021.50 = 31,926.06 : x
  2. Step 2: Convert to fraction form
    120,674.88/181,021.50 = 31,926.06/x
  3. Step 3: Cross multiply
    120,674.88x = 181,021.50 × 31,926.06
  4. Step 4: Simplify right side
    120,674.88x = 5,779,303,270.29
  5. Step 5: Solve for x
    x = 5,779,303,270.29/120,674.88
  6. Step 6: Final answer
    x = 47,891.52

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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.