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Finding the Fourth Proportional to 75,277, 112,915.50 and 26,029

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Solution

The fourth proportional to 75,277, 112,915.50 and 26,029 is: 39,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277 : 112,915.50 = 26,029 : x
  2. Step 2: Convert to fraction form
    75,277/112,915.50 = 26,029/x
  3. Step 3: Cross multiply
    75,277x = 112,915.50 × 26,029
  4. Step 4: Simplify right side
    75,277x = 2,939,077,549.50
  5. Step 5: Solve for x
    x = 2,939,077,549.50/75,277
  6. Step 6: Final answer
    x = 39,043.50

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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.