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Finding the Fourth Proportional to 46,430.94, 69,786.72 and 30,689.94

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Solution

The fourth proportional to 46,430.94, 69,786.72 and 30,689.94 is: 46,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,430.94 : 69,786.72 = 30,689.94 : x
  2. Step 2: Convert to fraction form
    46,430.94/69,786.72 = 30,689.94/x
  3. Step 3: Cross multiply
    46,430.94x = 69,786.72 × 30,689.94
  4. Step 4: Simplify right side
    46,430.94x = 2,141,750,249.60
  5. Step 5: Solve for x
    x = 2,141,750,249.60/46,430.94
  6. Step 6: Final answer
    x = 46,127.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.