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Finding the Fourth Proportional to 58,095.36, 87,157.44 and 16,542

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Solution

The fourth proportional to 58,095.36, 87,157.44 and 16,542 is: 24,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,095.36 : 87,157.44 = 16,542 : x
  2. Step 2: Convert to fraction form
    58,095.36/87,157.44 = 16,542/x
  3. Step 3: Cross multiply
    58,095.36x = 87,157.44 × 16,542
  4. Step 4: Simplify right side
    58,095.36x = 1,441,758,372.48
  5. Step 5: Solve for x
    x = 1,441,758,372.48/58,095.36
  6. Step 6: Final answer
    x = 24,817.10

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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.