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Finding the Fourth Proportional to 74,930.65, 112,432.62 and 32,804.98

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Solution

The fourth proportional to 74,930.65, 112,432.62 and 32,804.98 is: 49,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,930.65 : 112,432.62 = 32,804.98 : x
  2. Step 2: Convert to fraction form
    74,930.65/112,432.62 = 32,804.98/x
  3. Step 3: Cross multiply
    74,930.65x = 112,432.62 × 32,804.98
  4. Step 4: Simplify right side
    74,930.65x = 3,688,349,850.45
  5. Step 5: Solve for x
    x = 3,688,349,850.45/74,930.65
  6. Step 6: Final answer
    x = 49,223.51

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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.