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Finding the Fourth Proportional to 65,347.43, 97,934.94 and 25,883.01

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Solution

The fourth proportional to 65,347.43, 97,934.94 and 25,883.01 is: 38,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.43 : 97,934.94 = 25,883.01 : x
  2. Step 2: Convert to fraction form
    65,347.43/97,934.94 = 25,883.01/x
  3. Step 3: Cross multiply
    65,347.43x = 97,934.94 × 25,883.01
  4. Step 4: Simplify right side
    65,347.43x = 2,534,851,031.37
  5. Step 5: Solve for x
    x = 2,534,851,031.37/65,347.43
  6. Step 6: Final answer
    x = 38,790.37

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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.