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Finding the Fourth Proportional to 58,284, 87,440.76 and 16,731

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Solution

The fourth proportional to 58,284, 87,440.76 and 16,731 is: 25,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 87,440.76 = 16,731 : x
  2. Step 2: Convert to fraction form
    58,284/87,440.76 = 16,731/x
  3. Step 3: Cross multiply
    58,284x = 87,440.76 × 16,731
  4. Step 4: Simplify right side
    58,284x = 1,462,971,355.56
  5. Step 5: Solve for x
    x = 1,462,971,355.56/58,284
  6. Step 6: Final answer
    x = 25,100.74

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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.