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Finding the Fourth Proportional to 56,490.35, 77,954.08 and 30,996.08

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Solution

The fourth proportional to 56,490.35, 77,954.08 and 30,996.08 is: 42,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490.35 : 77,954.08 = 30,996.08 : x
  2. Step 2: Convert to fraction form
    56,490.35/77,954.08 = 30,996.08/x
  3. Step 3: Cross multiply
    56,490.35x = 77,954.08 × 30,996.08
  4. Step 4: Simplify right side
    56,490.35x = 2,416,270,900.01
  5. Step 5: Solve for x
    x = 2,416,270,900.01/56,490.35
  6. Step 6: Final answer
    x = 42,773.16

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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.