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Finding the Fourth Proportional to 53,614.46, 80,424.53 and 14,170.50

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Solution

The fourth proportional to 53,614.46, 80,424.53 and 14,170.50 is: 21,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.46 : 80,424.53 = 14,170.50 : x
  2. Step 2: Convert to fraction form
    53,614.46/80,424.53 = 14,170.50/x
  3. Step 3: Cross multiply
    53,614.46x = 80,424.53 × 14,170.50
  4. Step 4: Simplify right side
    53,614.46x = 1,139,655,731.51
  5. Step 5: Solve for x
    x = 1,139,655,731.51/53,614.46
  6. Step 6: Final answer
    x = 21,256.50

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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.