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Finding the Fourth Proportional to 101,928.26, 152,832.02 and 30,829.34

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Solution

The fourth proportional to 101,928.26, 152,832.02 and 30,829.34 is: 46,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928.26 : 152,832.02 = 30,829.34 : x
  2. Step 2: Convert to fraction form
    101,928.26/152,832.02 = 30,829.34/x
  3. Step 3: Cross multiply
    101,928.26x = 152,832.02 × 30,829.34
  4. Step 4: Simplify right side
    101,928.26x = 4,711,709,389.16
  5. Step 5: Solve for x
    x = 4,711,709,389.16/101,928.26
  6. Step 6: Final answer
    x = 46,225.74

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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.