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Finding the Fourth Proportional to 51,700.50, 71,328.53 and 33,805.98

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Solution

The fourth proportional to 51,700.50, 71,328.53 and 33,805.98 is: 46,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,700.50 : 71,328.53 = 33,805.98 : x
  2. Step 2: Convert to fraction form
    51,700.50/71,328.53 = 33,805.98/x
  3. Step 3: Cross multiply
    51,700.50x = 71,328.53 × 33,805.98
  4. Step 4: Simplify right side
    51,700.50x = 2,411,330,957.06
  5. Step 5: Solve for x
    x = 2,411,330,957.06/51,700.50
  6. Step 6: Final answer
    x = 46,640.38

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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.