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Finding the Fourth Proportional to 78,410.34, 108,198.47 and 44,412.06

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Solution

The fourth proportional to 78,410.34, 108,198.47 and 44,412.06 is: 61,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.34 : 108,198.47 = 44,412.06 : x
  2. Step 2: Convert to fraction form
    78,410.34/108,198.47 = 44,412.06/x
  3. Step 3: Cross multiply
    78,410.34x = 108,198.47 × 44,412.06
  4. Step 4: Simplify right side
    78,410.34x = 4,805,316,719.49
  5. Step 5: Solve for x
    x = 4,805,316,719.49/78,410.34
  6. Step 6: Final answer
    x = 61,284.22

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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.