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Finding the Fourth Proportional to 58,288, 87,446.76 and 16,735

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Solution

The fourth proportional to 58,288, 87,446.76 and 16,735 is: 25,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,288 : 87,446.76 = 16,735 : x
  2. Step 2: Convert to fraction form
    58,288/87,446.76 = 16,735/x
  3. Step 3: Cross multiply
    58,288x = 87,446.76 × 16,735
  4. Step 4: Simplify right side
    58,288x = 1,463,421,528.60
  5. Step 5: Solve for x
    x = 1,463,421,528.60/58,288
  6. Step 6: Final answer
    x = 25,106.74

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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.