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Finding the Fourth Proportional to 30,946, 42,665.60 and 25,274.76

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Solution

The fourth proportional to 30,946, 42,665.60 and 25,274.76 is: 34,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946 : 42,665.60 = 25,274.76 : x
  2. Step 2: Convert to fraction form
    30,946/42,665.60 = 25,274.76/x
  3. Step 3: Cross multiply
    30,946x = 42,665.60 × 25,274.76
  4. Step 4: Simplify right side
    30,946x = 1,078,362,800.26
  5. Step 5: Solve for x
    x = 1,078,362,800.26/30,946
  6. Step 6: Final answer
    x = 34,846.60

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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.