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Finding the Fourth Proportional to 56,556, 78,054.48 and 34,200.16

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Solution

The fourth proportional to 56,556, 78,054.48 and 34,200.16 is: 47,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,556 : 78,054.48 = 34,200.16 : x
  2. Step 2: Convert to fraction form
    56,556/78,054.48 = 34,200.16/x
  3. Step 3: Cross multiply
    56,556x = 78,054.48 × 34,200.16
  4. Step 4: Simplify right side
    56,556x = 2,669,475,704.72
  5. Step 5: Solve for x
    x = 2,669,475,704.72/56,556
  6. Step 6: Final answer
    x = 47,200.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.