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Finding the Fourth Proportional to 65,298.56, 97,816 and 43,056.96

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Solution

The fourth proportional to 65,298.56, 97,816 and 43,056.96 is: 64,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.56 : 97,816 = 43,056.96 : x
  2. Step 2: Convert to fraction form
    65,298.56/97,816 = 43,056.96/x
  3. Step 3: Cross multiply
    65,298.56x = 97,816 × 43,056.96
  4. Step 4: Simplify right side
    65,298.56x = 4,211,659,599.36
  5. Step 5: Solve for x
    x = 4,211,659,599.36/65,298.56
  6. Step 6: Final answer
    x = 64,498.51

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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.