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Finding the Fourth Proportional to 65,152.89, 97,730.28 and 25,709.63

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Solution

The fourth proportional to 65,152.89, 97,730.28 and 25,709.63 is: 38,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.89 : 97,730.28 = 25,709.63 : x
  2. Step 2: Convert to fraction form
    65,152.89/97,730.28 = 25,709.63/x
  3. Step 3: Cross multiply
    65,152.89x = 97,730.28 × 25,709.63
  4. Step 4: Simplify right side
    65,152.89x = 2,512,608,849.95
  5. Step 5: Solve for x
    x = 2,512,608,849.95/65,152.89
  6. Step 6: Final answer
    x = 38,564.81

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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.