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Finding the Fourth Proportional to 78,460, 117,690 and 23,056

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Solution

The fourth proportional to 78,460, 117,690 and 23,056 is: 34,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460 : 117,690 = 23,056 : x
  2. Step 2: Convert to fraction form
    78,460/117,690 = 23,056/x
  3. Step 3: Cross multiply
    78,460x = 117,690 × 23,056
  4. Step 4: Simplify right side
    78,460x = 2,713,460,640
  5. Step 5: Solve for x
    x = 2,713,460,640/78,460
  6. Step 6: Final answer
    x = 34,584

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.