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Finding the Fourth Proportional to 30,874.81, 46,275.03 and 14,212.03

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Solution

The fourth proportional to 30,874.81, 46,275.03 and 14,212.03 is: 21,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.81 : 46,275.03 = 14,212.03 : x
  2. Step 2: Convert to fraction form
    30,874.81/46,275.03 = 14,212.03/x
  3. Step 3: Cross multiply
    30,874.81x = 46,275.03 × 14,212.03
  4. Step 4: Simplify right side
    30,874.81x = 657,662,114.61
  5. Step 5: Solve for x
    x = 657,662,114.61/30,874.81
  6. Step 6: Final answer
    x = 21,300.93

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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.