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Finding the Fourth Proportional to 50,075.80, 75,151.50 and 34,243

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Solution

The fourth proportional to 50,075.80, 75,151.50 and 34,243 is: 51,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,075.80 : 75,151.50 = 34,243 : x
  2. Step 2: Convert to fraction form
    50,075.80/75,151.50 = 34,243/x
  3. Step 3: Cross multiply
    50,075.80x = 75,151.50 × 34,243
  4. Step 4: Simplify right side
    50,075.80x = 2,573,412,814.50
  5. Step 5: Solve for x
    x = 2,573,412,814.50/50,075.80
  6. Step 6: Final answer
    x = 51,390.35

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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.