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Finding the Fourth Proportional to 65,212, 97,751.76 and 25,714.88

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Solution

The fourth proportional to 65,212, 97,751.76 and 25,714.88 is: 38,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212 : 97,751.76 = 25,714.88 : x
  2. Step 2: Convert to fraction form
    65,212/97,751.76 = 25,714.88/x
  3. Step 3: Cross multiply
    65,212x = 97,751.76 × 25,714.88
  4. Step 4: Simplify right side
    65,212x = 2,513,674,778.19
  5. Step 5: Solve for x
    x = 2,513,674,778.19/65,212
  6. Step 6: Final answer
    x = 38,546.20

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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.