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Finding the Fourth Proportional to 65,261.60, 97,877.64 and 30,182

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Solution

The fourth proportional to 65,261.60, 97,877.64 and 30,182 is: 45,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,261.60 : 97,877.64 = 30,182 : x
  2. Step 2: Convert to fraction form
    65,261.60/97,877.64 = 30,182/x
  3. Step 3: Cross multiply
    65,261.60x = 97,877.64 × 30,182
  4. Step 4: Simplify right side
    65,261.60x = 2,954,142,930.48
  5. Step 5: Solve for x
    x = 2,954,142,930.48/65,261.60
  6. Step 6: Final answer
    x = 45,266.17

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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.