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Finding the Fourth Proportional to 64,459.70, 96,631.10 and 34,842.94

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Solution

The fourth proportional to 64,459.70, 96,631.10 and 34,842.94 is: 52,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,459.70 : 96,631.10 = 34,842.94 : x
  2. Step 2: Convert to fraction form
    64,459.70/96,631.10 = 34,842.94/x
  3. Step 3: Cross multiply
    64,459.70x = 96,631.10 × 34,842.94
  4. Step 4: Simplify right side
    64,459.70x = 3,366,911,619.43
  5. Step 5: Solve for x
    x = 3,366,911,619.43/64,459.70
  6. Step 6: Final answer
    x = 52,232.82

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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.