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Finding the Fourth Proportional to 46,614.94, 69,923.11 and 11,554.63

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Solution

The fourth proportional to 46,614.94, 69,923.11 and 11,554.63 is: 17,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614.94 : 69,923.11 = 11,554.63 : x
  2. Step 2: Convert to fraction form
    46,614.94/69,923.11 = 11,554.63/x
  3. Step 3: Cross multiply
    46,614.94x = 69,923.11 × 11,554.63
  4. Step 4: Simplify right side
    46,614.94x = 807,935,664.50
  5. Step 5: Solve for x
    x = 807,935,664.50/46,614.94
  6. Step 6: Final answer
    x = 17,332.12

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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.