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Finding the Fourth Proportional to 53,564.70, 80,347.05 and 14,125.80

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Solution

The fourth proportional to 53,564.70, 80,347.05 and 14,125.80 is: 21,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,564.70 : 80,347.05 = 14,125.80 : x
  2. Step 2: Convert to fraction form
    53,564.70/80,347.05 = 14,125.80/x
  3. Step 3: Cross multiply
    53,564.70x = 80,347.05 × 14,125.80
  4. Step 4: Simplify right side
    53,564.70x = 1,134,966,358.89
  5. Step 5: Solve for x
    x = 1,134,966,358.89/53,564.70
  6. Step 6: Final answer
    x = 21,188.70

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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.