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Finding the Fourth Proportional to 46,520.91, 69,786 and 14,923.08

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Solution

The fourth proportional to 46,520.91, 69,786 and 14,923.08 is: 22,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,520.91 : 69,786 = 14,923.08 : x
  2. Step 2: Convert to fraction form
    46,520.91/69,786 = 14,923.08/x
  3. Step 3: Cross multiply
    46,520.91x = 69,786 × 14,923.08
  4. Step 4: Simplify right side
    46,520.91x = 1,041,422,060.88
  5. Step 5: Solve for x
    x = 1,041,422,060.88/46,520.91
  6. Step 6: Final answer
    x = 22,386.11

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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.