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Finding the Fourth Proportional to 93,813.12, 140,740.74 and 31,482

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Solution

The fourth proportional to 93,813.12, 140,740.74 and 31,482 is: 47,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,813.12 : 140,740.74 = 31,482 : x
  2. Step 2: Convert to fraction form
    93,813.12/140,740.74 = 31,482/x
  3. Step 3: Cross multiply
    93,813.12x = 140,740.74 × 31,482
  4. Step 4: Simplify right side
    93,813.12x = 4,430,799,976.68
  5. Step 5: Solve for x
    x = 4,430,799,976.68/93,813.12
  6. Step 6: Final answer
    x = 47,230.07

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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.