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Finding the Fourth Proportional to 101,001.96, 151,506.72 and 30,881.88

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Solution

The fourth proportional to 101,001.96, 151,506.72 and 30,881.88 is: 46,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,001.96 : 151,506.72 = 30,881.88 : x
  2. Step 2: Convert to fraction form
    101,001.96/151,506.72 = 30,881.88/x
  3. Step 3: Cross multiply
    101,001.96x = 151,506.72 × 30,881.88
  4. Step 4: Simplify right side
    101,001.96x = 4,678,812,346.23
  5. Step 5: Solve for x
    x = 4,678,812,346.23/101,001.96
  6. Step 6: Final answer
    x = 46,323.98

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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.