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Finding the Fourth Proportional to 78,388.58, 108,178.26 and 42,580.64

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Solution

The fourth proportional to 78,388.58, 108,178.26 and 42,580.64 is: 58,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.58 : 108,178.26 = 42,580.64 : x
  2. Step 2: Convert to fraction form
    78,388.58/108,178.26 = 42,580.64/x
  3. Step 3: Cross multiply
    78,388.58x = 108,178.26 × 42,580.64
  4. Step 4: Simplify right side
    78,388.58x = 4,606,299,655.65
  5. Step 5: Solve for x
    x = 4,606,299,655.65/78,388.58
  6. Step 6: Final answer
    x = 58,762.38

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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.