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Finding the Fourth Proportional to 84,730.91, 116,928.27 and 47,005.16

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Solution

The fourth proportional to 84,730.91, 116,928.27 and 47,005.16 is: 64,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730.91 : 116,928.27 = 47,005.16 : x
  2. Step 2: Convert to fraction form
    84,730.91/116,928.27 = 47,005.16/x
  3. Step 3: Cross multiply
    84,730.91x = 116,928.27 × 47,005.16
  4. Step 4: Simplify right side
    84,730.91x = 5,496,231,455.23
  5. Step 5: Solve for x
    x = 5,496,231,455.23/84,730.91
  6. Step 6: Final answer
    x = 64,866.90

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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.