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Finding the Fourth Proportional to 38,461.92, 53,078.40 and 21,696

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Solution

The fourth proportional to 38,461.92, 53,078.40 and 21,696 is: 29,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.92 : 53,078.40 = 21,696 : x
  2. Step 2: Convert to fraction form
    38,461.92/53,078.40 = 21,696/x
  3. Step 3: Cross multiply
    38,461.92x = 53,078.40 × 21,696
  4. Step 4: Simplify right side
    38,461.92x = 1,151,588,966.40
  5. Step 5: Solve for x
    x = 1,151,588,966.40/38,461.92
  6. Step 6: Final answer
    x = 29,941.02

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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.