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Finding the Fourth Proportional to 76,938.28, 106,174.54 and 42,946.47

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Solution

The fourth proportional to 76,938.28, 106,174.54 and 42,946.47 is: 59,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.28 : 106,174.54 = 42,946.47 : x
  2. Step 2: Convert to fraction form
    76,938.28/106,174.54 = 42,946.47/x
  3. Step 3: Cross multiply
    76,938.28x = 106,174.54 × 42,946.47
  4. Step 4: Simplify right side
    76,938.28x = 4,559,821,696.87
  5. Step 5: Solve for x
    x = 4,559,821,696.87/76,938.28
  6. Step 6: Final answer
    x = 59,265.97

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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.