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Finding the Fourth Proportional to 114,411.84, 171,498.62 and 38,453.99

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Solution

The fourth proportional to 114,411.84, 171,498.62 and 38,453.99 is: 57,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,411.84 : 171,498.62 = 38,453.99 : x
  2. Step 2: Convert to fraction form
    114,411.84/171,498.62 = 38,453.99/x
  3. Step 3: Cross multiply
    114,411.84x = 171,498.62 × 38,453.99
  4. Step 4: Simplify right side
    114,411.84x = 6,594,806,205.51
  5. Step 5: Solve for x
    x = 6,594,806,205.51/114,411.84
  6. Step 6: Final answer
    x = 57,640.94

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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.