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Finding the Fourth Proportional to 34,156.50, 47,136.34 and 19,252.50

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Solution

The fourth proportional to 34,156.50, 47,136.34 and 19,252.50 is: 26,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.50 : 47,136.34 = 19,252.50 : x
  2. Step 2: Convert to fraction form
    34,156.50/47,136.34 = 19,252.50/x
  3. Step 3: Cross multiply
    34,156.50x = 47,136.34 × 19,252.50
  4. Step 4: Simplify right side
    34,156.50x = 907,492,385.85
  5. Step 5: Solve for x
    x = 907,492,385.85/34,156.50
  6. Step 6: Final answer
    x = 26,568.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.