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Finding the Fourth Proportional to 58,482, 87,732.11 and 19,029.80

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Solution

The fourth proportional to 58,482, 87,732.11 and 19,029.80 is: 28,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,482 : 87,732.11 = 19,029.80 : x
  2. Step 2: Convert to fraction form
    58,482/87,732.11 = 19,029.80/x
  3. Step 3: Cross multiply
    58,482x = 87,732.11 × 19,029.80
  4. Step 4: Simplify right side
    58,482x = 1,669,524,773.78
  5. Step 5: Solve for x
    x = 1,669,524,773.78/58,482
  6. Step 6: Final answer
    x = 28,547.67

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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.