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Finding the Fourth Proportional to 64,508.94, 96,769.62 and 25,069.14

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Solution

The fourth proportional to 64,508.94, 96,769.62 and 25,069.14 is: 37,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508.94 : 96,769.62 = 25,069.14 : x
  2. Step 2: Convert to fraction form
    64,508.94/96,769.62 = 25,069.14/x
  3. Step 3: Cross multiply
    64,508.94x = 96,769.62 × 25,069.14
  4. Step 4: Simplify right side
    64,508.94x = 2,425,931,151.53
  5. Step 5: Solve for x
    x = 2,425,931,151.53/64,508.94
  6. Step 6: Final answer
    x = 37,606.12

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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.