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Finding the Fourth Proportional to 84,402.84, 116,421.05 and 54,140.24

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Solution

The fourth proportional to 84,402.84, 116,421.05 and 54,140.24 is: 74,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402.84 : 116,421.05 = 54,140.24 : x
  2. Step 2: Convert to fraction form
    84,402.84/116,421.05 = 54,140.24/x
  3. Step 3: Cross multiply
    84,402.84x = 116,421.05 × 54,140.24
  4. Step 4: Simplify right side
    84,402.84x = 6,303,062,735.25
  5. Step 5: Solve for x
    x = 6,303,062,735.25/84,402.84
  6. Step 6: Final answer
    x = 74,678.33

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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.