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Finding the Fourth Proportional to 84,768, 116,982.40 and 47,045.76

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Solution

The fourth proportional to 84,768, 116,982.40 and 47,045.76 is: 64,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768 : 116,982.40 = 47,045.76 : x
  2. Step 2: Convert to fraction form
    84,768/116,982.40 = 47,045.76/x
  3. Step 3: Cross multiply
    84,768x = 116,982.40 × 47,045.76
  4. Step 4: Simplify right side
    84,768x = 5,503,525,914.62
  5. Step 5: Solve for x
    x = 5,503,525,914.62/84,768
  6. Step 6: Final answer
    x = 64,924.57

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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.