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Finding the Fourth Proportional to 56,164.66, 77,507.15 and 30,671.26

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Solution

The fourth proportional to 56,164.66, 77,507.15 and 30,671.26 is: 42,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.66 : 77,507.15 = 30,671.26 : x
  2. Step 2: Convert to fraction form
    56,164.66/77,507.15 = 30,671.26/x
  3. Step 3: Cross multiply
    56,164.66x = 77,507.15 × 30,671.26
  4. Step 4: Simplify right side
    56,164.66x = 2,377,241,602.38
  5. Step 5: Solve for x
    x = 2,377,241,602.38/56,164.66
  6. Step 6: Final answer
    x = 42,326.29

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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.