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Finding the Fourth Proportional to 71,300, 98,419.96 and 41,492

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Solution

The fourth proportional to 71,300, 98,419.96 and 41,492 is: 57,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,300 : 98,419.96 = 41,492 : x
  2. Step 2: Convert to fraction form
    71,300/98,419.96 = 41,492/x
  3. Step 3: Cross multiply
    71,300x = 98,419.96 × 41,492
  4. Step 4: Simplify right side
    71,300x = 4,083,640,980.32
  5. Step 5: Solve for x
    x = 4,083,640,980.32/71,300
  6. Step 6: Final answer
    x = 57,274.07

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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.