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Finding the Fourth Proportional to 56,046.82, 77,345.13 and 30,897.22

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Solution

The fourth proportional to 56,046.82, 77,345.13 and 30,897.22 is: 42,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046.82 : 77,345.13 = 30,897.22 : x
  2. Step 2: Convert to fraction form
    56,046.82/77,345.13 = 30,897.22/x
  3. Step 3: Cross multiply
    56,046.82x = 77,345.13 × 30,897.22
  4. Step 4: Simplify right side
    56,046.82x = 2,389,749,497.54
  5. Step 5: Solve for x
    x = 2,389,749,497.54/56,046.82
  6. Step 6: Final answer
    x = 42,638.45

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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.