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Finding the Fourth Proportional to 56,531.84, 78,018 and 31,381.16

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Solution

The fourth proportional to 56,531.84, 78,018 and 31,381.16 is: 43,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,531.84 : 78,018 = 31,381.16 : x
  2. Step 2: Convert to fraction form
    56,531.84/78,018 = 31,381.16/x
  3. Step 3: Cross multiply
    56,531.84x = 78,018 × 31,381.16
  4. Step 4: Simplify right side
    56,531.84x = 2,448,295,340.88
  5. Step 5: Solve for x
    x = 2,448,295,340.88/56,531.84
  6. Step 6: Final answer
    x = 43,308.25

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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.