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Finding the Fourth Proportional to 73,971.48, 102,080.22 and 40,437.48

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Solution

The fourth proportional to 73,971.48, 102,080.22 and 40,437.48 is: 55,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971.48 : 102,080.22 = 40,437.48 : x
  2. Step 2: Convert to fraction form
    73,971.48/102,080.22 = 40,437.48/x
  3. Step 3: Cross multiply
    73,971.48x = 102,080.22 × 40,437.48
  4. Step 4: Simplify right side
    73,971.48x = 4,127,866,854.65
  5. Step 5: Solve for x
    x = 4,127,866,854.65/73,971.48
  6. Step 6: Final answer
    x = 55,803.49

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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.