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Finding the Fourth Proportional to 65,266.31, 97,899.54 and 17,881.80

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Solution

The fourth proportional to 65,266.31, 97,899.54 and 17,881.80 is: 26,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.31 : 97,899.54 = 17,881.80 : x
  2. Step 2: Convert to fraction form
    65,266.31/97,899.54 = 17,881.80/x
  3. Step 3: Cross multiply
    65,266.31x = 97,899.54 × 17,881.80
  4. Step 4: Simplify right side
    65,266.31x = 1,750,619,994.37
  5. Step 5: Solve for x
    x = 1,750,619,994.37/65,266.31
  6. Step 6: Final answer
    x = 26,822.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.