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Finding the Fourth Proportional to 65,151.42, 97,741.50 and 37,084.68

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Solution

The fourth proportional to 65,151.42, 97,741.50 and 37,084.68 is: 55,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.42 : 97,741.50 = 37,084.68 : x
  2. Step 2: Convert to fraction form
    65,151.42/97,741.50 = 37,084.68/x
  3. Step 3: Cross multiply
    65,151.42x = 97,741.50 × 37,084.68
  4. Step 4: Simplify right side
    65,151.42x = 3,624,712,250.22
  5. Step 5: Solve for x
    x = 3,624,712,250.22/65,151.42
  6. Step 6: Final answer
    x = 55,635.20

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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.