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Finding the Fourth Proportional to 93,378.75, 140,069.34 and 31,049.25

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Solution

The fourth proportional to 93,378.75, 140,069.34 and 31,049.25 is: 46,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,378.75 : 140,069.34 = 31,049.25 : x
  2. Step 2: Convert to fraction form
    93,378.75/140,069.34 = 31,049.25/x
  3. Step 3: Cross multiply
    93,378.75x = 140,069.34 × 31,049.25
  4. Step 4: Simplify right side
    93,378.75x = 4,349,047,955.00
  5. Step 5: Solve for x
    x = 4,349,047,955.00/93,378.75
  6. Step 6: Final answer
    x = 46,574.28

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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.