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Finding the Fourth Proportional to 59,782.12, 89,674.74 and 18,229

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Solution

The fourth proportional to 59,782.12, 89,674.74 and 18,229 is: 27,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782.12 : 89,674.74 = 18,229 : x
  2. Step 2: Convert to fraction form
    59,782.12/89,674.74 = 18,229/x
  3. Step 3: Cross multiply
    59,782.12x = 89,674.74 × 18,229
  4. Step 4: Simplify right side
    59,782.12x = 1,634,680,835.46
  5. Step 5: Solve for x
    x = 1,634,680,835.46/59,782.12
  6. Step 6: Final answer
    x = 27,343.98

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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.