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Finding the Fourth Proportional to 56,451.68, 77,940.06 and 38,540.16

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Solution

The fourth proportional to 56,451.68, 77,940.06 and 38,540.16 is: 53,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,451.68 : 77,940.06 = 38,540.16 : x
  2. Step 2: Convert to fraction form
    56,451.68/77,940.06 = 38,540.16/x
  3. Step 3: Cross multiply
    56,451.68x = 77,940.06 × 38,540.16
  4. Step 4: Simplify right side
    56,451.68x = 3,003,822,382.81
  5. Step 5: Solve for x
    x = 3,003,822,382.81/56,451.68
  6. Step 6: Final answer
    x = 53,210.50

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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.