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Finding the Fourth Proportional to 53,647.38, 73,970.28 and 43,543.98

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Solution

The fourth proportional to 53,647.38, 73,970.28 and 43,543.98 is: 60,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.38 : 73,970.28 = 43,543.98 : x
  2. Step 2: Convert to fraction form
    53,647.38/73,970.28 = 43,543.98/x
  3. Step 3: Cross multiply
    53,647.38x = 73,970.28 × 43,543.98
  4. Step 4: Simplify right side
    53,647.38x = 3,220,960,392.91
  5. Step 5: Solve for x
    x = 3,220,960,392.91/53,647.38
  6. Step 6: Final answer
    x = 60,039.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.