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Finding the Fourth Proportional to 58,709.62, 88,059.75 and 16,588

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Solution

The fourth proportional to 58,709.62, 88,059.75 and 16,588 is: 24,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,709.62 : 88,059.75 = 16,588 : x
  2. Step 2: Convert to fraction form
    58,709.62/88,059.75 = 16,588/x
  3. Step 3: Cross multiply
    58,709.62x = 88,059.75 × 16,588
  4. Step 4: Simplify right side
    58,709.62x = 1,460,735,133
  5. Step 5: Solve for x
    x = 1,460,735,133/58,709.62
  6. Step 6: Final answer
    x = 24,880.68

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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.