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Finding the Fourth Proportional to 100,701, 151,051.50 and 47,950.56

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Solution

The fourth proportional to 100,701, 151,051.50 and 47,950.56 is: 71,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701 : 151,051.50 = 47,950.56 : x
  2. Step 2: Convert to fraction form
    100,701/151,051.50 = 47,950.56/x
  3. Step 3: Cross multiply
    100,701x = 151,051.50 × 47,950.56
  4. Step 4: Simplify right side
    100,701x = 7,243,004,013.84
  5. Step 5: Solve for x
    x = 7,243,004,013.84/100,701
  6. Step 6: Final answer
    x = 71,925.84

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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.