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Finding the Fourth Proportional to 74,478.86, 102,774.71 and 43,847.09

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Solution

The fourth proportional to 74,478.86, 102,774.71 and 43,847.09 is: 60,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,478.86 : 102,774.71 = 43,847.09 : x
  2. Step 2: Convert to fraction form
    74,478.86/102,774.71 = 43,847.09/x
  3. Step 3: Cross multiply
    74,478.86x = 102,774.71 × 43,847.09
  4. Step 4: Simplify right side
    74,478.86x = 4,506,371,225.98
  5. Step 5: Solve for x
    x = 4,506,371,225.98/74,478.86
  6. Step 6: Final answer
    x = 60,505.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.