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Finding the Fourth Proportional to 65,009.34, 97,434.23 and 36,952.88

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Solution

The fourth proportional to 65,009.34, 97,434.23 and 36,952.88 is: 55,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.34 : 97,434.23 = 36,952.88 : x
  2. Step 2: Convert to fraction form
    65,009.34/97,434.23 = 36,952.88/x
  3. Step 3: Cross multiply
    65,009.34x = 97,434.23 × 36,952.88
  4. Step 4: Simplify right side
    65,009.34x = 3,600,474,737.15
  5. Step 5: Solve for x
    x = 3,600,474,737.15/65,009.34
  6. Step 6: Final answer
    x = 55,383.96

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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.