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Finding the Fourth Proportional to 103,538.63, 155,311.38 and 28,652.51

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Solution

The fourth proportional to 103,538.63, 155,311.38 and 28,652.51 is: 42,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.63 : 155,311.38 = 28,652.51 : x
  2. Step 2: Convert to fraction form
    103,538.63/155,311.38 = 28,652.51/x
  3. Step 3: Cross multiply
    103,538.63x = 155,311.38 × 28,652.51
  4. Step 4: Simplify right side
    103,538.63x = 4,450,060,092.01
  5. Step 5: Solve for x
    x = 4,450,060,092.01/103,538.63
  6. Step 6: Final answer
    x = 42,979.71

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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.