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Finding the Fourth Proportional to 100,925.34, 151,402.65 and 30,795.54

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Solution

The fourth proportional to 100,925.34, 151,402.65 and 30,795.54 is: 46,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,925.34 : 151,402.65 = 30,795.54 : x
  2. Step 2: Convert to fraction form
    100,925.34/151,402.65 = 30,795.54/x
  3. Step 3: Cross multiply
    100,925.34x = 151,402.65 × 30,795.54
  4. Step 4: Simplify right side
    100,925.34x = 4,662,526,364.18
  5. Step 5: Solve for x
    x = 4,662,526,364.18/100,925.34
  6. Step 6: Final answer
    x = 46,197.78

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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.