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Finding the Fourth Proportional to 53,138.25, 79,711.02 and 17,599.50

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Solution

The fourth proportional to 53,138.25, 79,711.02 and 17,599.50 is: 26,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,138.25 : 79,711.02 = 17,599.50 : x
  2. Step 2: Convert to fraction form
    53,138.25/79,711.02 = 17,599.50/x
  3. Step 3: Cross multiply
    53,138.25x = 79,711.02 × 17,599.50
  4. Step 4: Simplify right side
    53,138.25x = 1,402,874,096.49
  5. Step 5: Solve for x
    x = 1,402,874,096.49/53,138.25
  6. Step 6: Final answer
    x = 26,400.46

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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.