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Finding the Fourth Proportional to 65,051.28, 97,577.16 and 15,803.28

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Solution

The fourth proportional to 65,051.28, 97,577.16 and 15,803.28 is: 23,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.28 : 97,577.16 = 15,803.28 : x
  2. Step 2: Convert to fraction form
    65,051.28/97,577.16 = 15,803.28/x
  3. Step 3: Cross multiply
    65,051.28x = 97,577.16 × 15,803.28
  4. Step 4: Simplify right side
    65,051.28x = 1,542,039,181.08
  5. Step 5: Solve for x
    x = 1,542,039,181.08/65,051.28
  6. Step 6: Final answer
    x = 23,704.98

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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.