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Finding the Fourth Proportional to 78,152.56, 117,245.04 and 31,409.08

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Solution

The fourth proportional to 78,152.56, 117,245.04 and 31,409.08 is: 47,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.56 : 117,245.04 = 31,409.08 : x
  2. Step 2: Convert to fraction form
    78,152.56/117,245.04 = 31,409.08/x
  3. Step 3: Cross multiply
    78,152.56x = 117,245.04 × 31,409.08
  4. Step 4: Simplify right side
    78,152.56x = 3,682,558,840.96
  5. Step 5: Solve for x
    x = 3,682,558,840.96/78,152.56
  6. Step 6: Final answer
    x = 47,120.13

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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.