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Finding the Fourth Proportional to 58,077.24, 87,081 and 20,114

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Solution

The fourth proportional to 58,077.24, 87,081 and 20,114 is: 30,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,077.24 : 87,081 = 20,114 : x
  2. Step 2: Convert to fraction form
    58,077.24/87,081 = 20,114/x
  3. Step 3: Cross multiply
    58,077.24x = 87,081 × 20,114
  4. Step 4: Simplify right side
    58,077.24x = 1,751,547,234
  5. Step 5: Solve for x
    x = 1,751,547,234/58,077.24
  6. Step 6: Final answer
    x = 30,158.93

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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.