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Finding the Fourth Proportional to 75,708, 104,480.64 and 42,174

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Solution

The fourth proportional to 75,708, 104,480.64 and 42,174 is: 58,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708 : 104,480.64 = 42,174 : x
  2. Step 2: Convert to fraction form
    75,708/104,480.64 = 42,174/x
  3. Step 3: Cross multiply
    75,708x = 104,480.64 × 42,174
  4. Step 4: Simplify right side
    75,708x = 4,406,366,511.36
  5. Step 5: Solve for x
    x = 4,406,366,511.36/75,708
  6. Step 6: Final answer
    x = 58,202.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.