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Finding the Fourth Proportional to 58,098, 87,147 and 14,322

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Solution

The fourth proportional to 58,098, 87,147 and 14,322 is: 21,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,098 : 87,147 = 14,322 : x
  2. Step 2: Convert to fraction form
    58,098/87,147 = 14,322/x
  3. Step 3: Cross multiply
    58,098x = 87,147 × 14,322
  4. Step 4: Simplify right side
    58,098x = 1,248,119,334
  5. Step 5: Solve for x
    x = 1,248,119,334/58,098
  6. Step 6: Final answer
    x = 21,483

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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.