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Finding the Fourth Proportional to 93,378.69, 140,069.25 and 31,049.19

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Solution

The fourth proportional to 93,378.69, 140,069.25 and 31,049.19 is: 46,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,378.69 : 140,069.25 = 31,049.19 : x
  2. Step 2: Convert to fraction form
    93,378.69/140,069.25 = 31,049.19/x
  3. Step 3: Cross multiply
    93,378.69x = 140,069.25 × 31,049.19
  4. Step 4: Simplify right side
    93,378.69x = 4,349,036,756.41
  5. Step 5: Solve for x
    x = 4,349,036,756.41/93,378.69
  6. Step 6: Final answer
    x = 46,574.19

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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.