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Finding the Fourth Proportional to 70,495.72, 105,771.29 and 31,025.16

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Solution

The fourth proportional to 70,495.72, 105,771.29 and 31,025.16 is: 46,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,495.72 : 105,771.29 = 31,025.16 : x
  2. Step 2: Convert to fraction form
    70,495.72/105,771.29 = 31,025.16/x
  3. Step 3: Cross multiply
    70,495.72x = 105,771.29 × 31,025.16
  4. Step 4: Simplify right side
    70,495.72x = 3,281,571,040.53
  5. Step 5: Solve for x
    x = 3,281,571,040.53/70,495.72
  6. Step 6: Final answer
    x = 46,549.93

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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.