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Finding the Fourth Proportional to 75,792, 104,592.96 and 42,258

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Solution

The fourth proportional to 75,792, 104,592.96 and 42,258 is: 58,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792 : 104,592.96 = 42,258 : x
  2. Step 2: Convert to fraction form
    75,792/104,592.96 = 42,258/x
  3. Step 3: Cross multiply
    75,792x = 104,592.96 × 42,258
  4. Step 4: Simplify right side
    75,792x = 4,419,889,303.68
  5. Step 5: Solve for x
    x = 4,419,889,303.68/75,792
  6. Step 6: Final answer
    x = 58,316.04

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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.