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Finding the Fourth Proportional to 84,774.72, 116,962.08 and 48,960

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Solution

The fourth proportional to 84,774.72, 116,962.08 and 48,960 is: 67,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,774.72 : 116,962.08 = 48,960 : x
  2. Step 2: Convert to fraction form
    84,774.72/116,962.08 = 48,960/x
  3. Step 3: Cross multiply
    84,774.72x = 116,962.08 × 48,960
  4. Step 4: Simplify right side
    84,774.72x = 5,726,463,436.80
  5. Step 5: Solve for x
    x = 5,726,463,436.80/84,774.72
  6. Step 6: Final answer
    x = 67,549.19

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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.