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Finding the Fourth Proportional to 56,578.01, 78,080.13 and 31,427.51

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Solution

The fourth proportional to 56,578.01, 78,080.13 and 31,427.51 is: 43,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578.01 : 78,080.13 = 31,427.51 : x
  2. Step 2: Convert to fraction form
    56,578.01/78,080.13 = 31,427.51/x
  3. Step 3: Cross multiply
    56,578.01x = 78,080.13 × 31,427.51
  4. Step 4: Simplify right side
    56,578.01x = 2,453,864,066.38
  5. Step 5: Solve for x
    x = 2,453,864,066.38/56,578.01
  6. Step 6: Final answer
    x = 43,371.34

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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.