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Finding the Fourth Proportional to 64,574.48, 96,863.64 and 17,827.76

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Solution

The fourth proportional to 64,574.48, 96,863.64 and 17,827.76 is: 26,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,574.48 : 96,863.64 = 17,827.76 : x
  2. Step 2: Convert to fraction form
    64,574.48/96,863.64 = 17,827.76/x
  3. Step 3: Cross multiply
    64,574.48x = 96,863.64 × 17,827.76
  4. Step 4: Simplify right side
    64,574.48x = 1,726,861,726.65
  5. Step 5: Solve for x
    x = 1,726,861,726.65/64,574.48
  6. Step 6: Final answer
    x = 26,742.17

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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.