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Finding the Fourth Proportional to 114,564.48, 171,836.64 and 31,458.48

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Solution

The fourth proportional to 114,564.48, 171,836.64 and 31,458.48 is: 47,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.48 : 171,836.64 = 31,458.48 : x
  2. Step 2: Convert to fraction form
    114,564.48/171,836.64 = 31,458.48/x
  3. Step 3: Cross multiply
    114,564.48x = 171,836.64 × 31,458.48
  4. Step 4: Simplify right side
    114,564.48x = 5,405,719,502.71
  5. Step 5: Solve for x
    x = 5,405,719,502.71/114,564.48
  6. Step 6: Final answer
    x = 47,184.95

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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.