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Finding the Fourth Proportional to 103,541.27, 155,312.12 and 28,661.63

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Solution

The fourth proportional to 103,541.27, 155,312.12 and 28,661.63 is: 42,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541.27 : 155,312.12 = 28,661.63 : x
  2. Step 2: Convert to fraction form
    103,541.27/155,312.12 = 28,661.63/x
  3. Step 3: Cross multiply
    103,541.27x = 155,312.12 × 28,661.63
  4. Step 4: Simplify right side
    103,541.27x = 4,451,497,813.05
  5. Step 5: Solve for x
    x = 4,451,497,813.05/103,541.27
  6. Step 6: Final answer
    x = 42,992.50

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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.