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Finding the Fourth Proportional to 78,054, 117,076.89 and 21,898.02

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Solution

The fourth proportional to 78,054, 117,076.89 and 21,898.02 is: 32,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054 : 117,076.89 = 21,898.02 : x
  2. Step 2: Convert to fraction form
    78,054/117,076.89 = 21,898.02/x
  3. Step 3: Cross multiply
    78,054x = 117,076.89 × 21,898.02
  4. Step 4: Simplify right side
    78,054x = 2,563,752,078.76
  5. Step 5: Solve for x
    x = 2,563,752,078.76/78,054
  6. Step 6: Final answer
    x = 32,845.88

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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.