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Finding the Fourth Proportional to 30,960.50, 46,448.60 and 14,332.46

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Solution

The fourth proportional to 30,960.50, 46,448.60 and 14,332.46 is: 21,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960.50 : 46,448.60 = 14,332.46 : x
  2. Step 2: Convert to fraction form
    30,960.50/46,448.60 = 14,332.46/x
  3. Step 3: Cross multiply
    30,960.50x = 46,448.60 × 14,332.46
  4. Step 4: Simplify right side
    30,960.50x = 665,722,397.65
  5. Step 5: Solve for x
    x = 665,722,397.65/30,960.50
  6. Step 6: Final answer
    x = 21,502.32

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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.