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Finding the Fourth Proportional to 78,453.36, 108,266.28 and 42,643.38

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Solution

The fourth proportional to 78,453.36, 108,266.28 and 42,643.38 is: 58,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.36 : 108,266.28 = 42,643.38 : x
  2. Step 2: Convert to fraction form
    78,453.36/108,266.28 = 42,643.38/x
  3. Step 3: Cross multiply
    78,453.36x = 108,266.28 × 42,643.38
  4. Step 4: Simplify right side
    78,453.36x = 4,616,840,119.23
  5. Step 5: Solve for x
    x = 4,616,840,119.23/78,453.36
  6. Step 6: Final answer
    x = 58,848.21

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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.