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Finding the Fourth Proportional to 56,852.64, 78,362.64 and 37,982.88

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Solution

The fourth proportional to 56,852.64, 78,362.64 and 37,982.88 is: 52,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.64 : 78,362.64 = 37,982.88 : x
  2. Step 2: Convert to fraction form
    56,852.64/78,362.64 = 37,982.88/x
  3. Step 3: Cross multiply
    56,852.64x = 78,362.64 × 37,982.88
  4. Step 4: Simplify right side
    56,852.64x = 2,976,438,751.60
  5. Step 5: Solve for x
    x = 2,976,438,751.60/56,852.64
  6. Step 6: Final answer
    x = 52,353.57

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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.