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Finding the Fourth Proportional to 55,802.31, 76,978.31 and 34,544.67

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Solution

The fourth proportional to 55,802.31, 76,978.31 and 34,544.67 is: 47,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.31 : 76,978.31 = 34,544.67 : x
  2. Step 2: Convert to fraction form
    55,802.31/76,978.31 = 34,544.67/x
  3. Step 3: Cross multiply
    55,802.31x = 76,978.31 × 34,544.67
  4. Step 4: Simplify right side
    55,802.31x = 2,659,190,316.11
  5. Step 5: Solve for x
    x = 2,659,190,316.11/55,802.31
  6. Step 6: Final answer
    x = 47,653.77

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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.