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Finding the Fourth Proportional to 65,004.63, 97,427.19 and 36,948.20

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Solution

The fourth proportional to 65,004.63, 97,427.19 and 36,948.20 is: 55,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.63 : 97,427.19 = 36,948.20 : x
  2. Step 2: Convert to fraction form
    65,004.63/97,427.19 = 36,948.20/x
  3. Step 3: Cross multiply
    65,004.63x = 97,427.19 × 36,948.20
  4. Step 4: Simplify right side
    65,004.63x = 3,599,758,814.42
  5. Step 5: Solve for x
    x = 3,599,758,814.42/65,004.63
  6. Step 6: Final answer
    x = 55,376.96

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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.