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Finding the Fourth Proportional to 58,022, 87,020.80 and 28,410

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Solution

The fourth proportional to 58,022, 87,020.80 and 28,410 is: 42,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,022 : 87,020.80 = 28,410 : x
  2. Step 2: Convert to fraction form
    58,022/87,020.80 = 28,410/x
  3. Step 3: Cross multiply
    58,022x = 87,020.80 × 28,410
  4. Step 4: Simplify right side
    58,022x = 2,472,260,928
  5. Step 5: Solve for x
    x = 2,472,260,928/58,022
  6. Step 6: Final answer
    x = 42,609.03

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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.