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Finding the Fourth Proportional to 56,461.68, 77,918.49 and 30,969.09

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Solution

The fourth proportional to 56,461.68, 77,918.49 and 30,969.09 is: 42,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.68 : 77,918.49 = 30,969.09 : x
  2. Step 2: Convert to fraction form
    56,461.68/77,918.49 = 30,969.09/x
  3. Step 3: Cross multiply
    56,461.68x = 77,918.49 × 30,969.09
  4. Step 4: Simplify right side
    56,461.68x = 2,413,064,729.47
  5. Step 5: Solve for x
    x = 2,413,064,729.47/56,461.68
  6. Step 6: Final answer
    x = 42,738.10

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