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Finding the Fourth Proportional to 65,024.64, 97,709.76 and 60,825.60

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Solution

The fourth proportional to 65,024.64, 97,709.76 and 60,825.60 is: 91,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.64 : 97,709.76 = 60,825.60 : x
  2. Step 2: Convert to fraction form
    65,024.64/97,709.76 = 60,825.60/x
  3. Step 3: Cross multiply
    65,024.64x = 97,709.76 × 60,825.60
  4. Step 4: Simplify right side
    65,024.64x = 5,943,254,777.86
  5. Step 5: Solve for x
    x = 5,943,254,777.86/65,024.64
  6. Step 6: Final answer
    x = 91,400.04

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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.