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Finding the Fourth Proportional to 56,164.21, 77,506.77 and 30,670.81

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Solution

The fourth proportional to 56,164.21, 77,506.77 and 30,670.81 is: 42,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.21 : 77,506.77 = 30,670.81 : x
  2. Step 2: Convert to fraction form
    56,164.21/77,506.77 = 30,670.81/x
  3. Step 3: Cross multiply
    56,164.21x = 77,506.77 × 30,670.81
  4. Step 4: Simplify right side
    56,164.21x = 2,377,195,416.38
  5. Step 5: Solve for x
    x = 2,377,195,416.38/56,164.21
  6. Step 6: Final answer
    x = 42,325.81

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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.