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Finding the Fourth Proportional to 56,169.12, 77,513.36 and 31,018.40

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Solution

The fourth proportional to 56,169.12, 77,513.36 and 31,018.40 is: 42,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,169.12 : 77,513.36 = 31,018.40 : x
  2. Step 2: Convert to fraction form
    56,169.12/77,513.36 = 31,018.40/x
  3. Step 3: Cross multiply
    56,169.12x = 77,513.36 × 31,018.40
  4. Step 4: Simplify right side
    56,169.12x = 2,404,340,405.82
  5. Step 5: Solve for x
    x = 2,404,340,405.82/56,169.12
  6. Step 6: Final answer
    x = 42,805.38

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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.