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Finding the Fourth Proportional to 84,402.32, 116,420.28 and 54,139.72

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Solution

The fourth proportional to 84,402.32, 116,420.28 and 54,139.72 is: 74,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402.32 : 116,420.28 = 54,139.72 : x
  2. Step 2: Convert to fraction form
    84,402.32/116,420.28 = 54,139.72/x
  3. Step 3: Cross multiply
    84,402.32x = 116,420.28 × 54,139.72
  4. Step 4: Simplify right side
    84,402.32x = 6,302,961,361.52
  5. Step 5: Solve for x
    x = 6,302,961,361.52/84,402.32
  6. Step 6: Final answer
    x = 74,677.58

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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.