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Finding the Fourth Proportional to 64,651.06, 96,769.16 and 34,590.10

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Solution

The fourth proportional to 64,651.06, 96,769.16 and 34,590.10 is: 51,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.06 : 96,769.16 = 34,590.10 : x
  2. Step 2: Convert to fraction form
    64,651.06/96,769.16 = 34,590.10/x
  3. Step 3: Cross multiply
    64,651.06x = 96,769.16 × 34,590.10
  4. Step 4: Simplify right side
    64,651.06x = 3,347,254,350.99
  5. Step 5: Solve for x
    x = 3,347,254,350.99/64,651.06
  6. Step 6: Final answer
    x = 51,774.16

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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.