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Finding the Fourth Proportional to 84,788.28, 117,013.14 and 47,063.16

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Solution

The fourth proportional to 84,788.28, 117,013.14 and 47,063.16 is: 64,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788.28 : 117,013.14 = 47,063.16 : x
  2. Step 2: Convert to fraction form
    84,788.28/117,013.14 = 47,063.16/x
  3. Step 3: Cross multiply
    84,788.28x = 117,013.14 × 47,063.16
  4. Step 4: Simplify right side
    84,788.28x = 5,507,008,129.92
  5. Step 5: Solve for x
    x = 5,507,008,129.92/84,788.28
  6. Step 6: Final answer
    x = 64,950.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.