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Finding the Fourth Proportional to 65,044.21, 97,564.90 and 29,983.87

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Solution

The fourth proportional to 65,044.21, 97,564.90 and 29,983.87 is: 44,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,044.21 : 97,564.90 = 29,983.87 : x
  2. Step 2: Convert to fraction form
    65,044.21/97,564.90 = 29,983.87/x
  3. Step 3: Cross multiply
    65,044.21x = 97,564.90 × 29,983.87
  4. Step 4: Simplify right side
    65,044.21x = 2,925,372,640.42
  5. Step 5: Solve for x
    x = 2,925,372,640.42/65,044.21
  6. Step 6: Final answer
    x = 44,975.14

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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.