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Finding the Fourth Proportional to 64,281.76, 96,409.68 and 34,694.08

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Solution

The fourth proportional to 64,281.76, 96,409.68 and 34,694.08 is: 52,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,281.76 : 96,409.68 = 34,694.08 : x
  2. Step 2: Convert to fraction form
    64,281.76/96,409.68 = 34,694.08/x
  3. Step 3: Cross multiply
    64,281.76x = 96,409.68 × 34,694.08
  4. Step 4: Simplify right side
    64,281.76x = 3,344,845,150.69
  5. Step 5: Solve for x
    x = 3,344,845,150.69/64,281.76
  6. Step 6: Final answer
    x = 52,034.13

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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.