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Finding the Fourth Proportional to 65,272.48, 97,748.43 and 31,884.91

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Solution

The fourth proportional to 65,272.48, 97,748.43 and 31,884.91 is: 47,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.48 : 97,748.43 = 31,884.91 : x
  2. Step 2: Convert to fraction form
    65,272.48/97,748.43 = 31,884.91/x
  3. Step 3: Cross multiply
    65,272.48x = 97,748.43 × 31,884.91
  4. Step 4: Simplify right side
    65,272.48x = 3,116,699,893.19
  5. Step 5: Solve for x
    x = 3,116,699,893.19/65,272.48
  6. Step 6: Final answer
    x = 47,749.07

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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.