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Finding the Fourth Proportional to 64,294.65, 96,455.76 and 32,709.12

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Solution

The fourth proportional to 64,294.65, 96,455.76 and 32,709.12 is: 49,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294.65 : 96,455.76 = 32,709.12 : x
  2. Step 2: Convert to fraction form
    64,294.65/96,455.76 = 32,709.12/x
  3. Step 3: Cross multiply
    64,294.65x = 96,455.76 × 32,709.12
  4. Step 4: Simplify right side
    64,294.65x = 3,154,983,028.53
  5. Step 5: Solve for x
    x = 3,154,983,028.53/64,294.65
  6. Step 6: Final answer
    x = 49,070.69

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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.