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Finding the Fourth Proportional to 65,164.08, 97,775.28 and 37,462.08

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Solution

The fourth proportional to 65,164.08, 97,775.28 and 37,462.08 is: 56,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.08 : 97,775.28 = 37,462.08 : x
  2. Step 2: Convert to fraction form
    65,164.08/97,775.28 = 37,462.08/x
  3. Step 3: Cross multiply
    65,164.08x = 97,775.28 × 37,462.08
  4. Step 4: Simplify right side
    65,164.08x = 3,662,865,361.38
  5. Step 5: Solve for x
    x = 3,662,865,361.38/65,164.08
  6. Step 6: Final answer
    x = 56,209.88

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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.