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Finding the Fourth Proportional to 58,143, 87,215.34 and 16,590

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Solution

The fourth proportional to 58,143, 87,215.34 and 16,590 is: 24,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,143 : 87,215.34 = 16,590 : x
  2. Step 2: Convert to fraction form
    58,143/87,215.34 = 16,590/x
  3. Step 3: Cross multiply
    58,143x = 87,215.34 × 16,590
  4. Step 4: Simplify right side
    58,143x = 1,446,902,490.60
  5. Step 5: Solve for x
    x = 1,446,902,490.60/58,143
  6. Step 6: Final answer
    x = 24,885.24

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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.