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Finding the Fourth Proportional to 114,492.58, 171,706.05 and 38,582.82

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Solution

The fourth proportional to 114,492.58, 171,706.05 and 38,582.82 is: 57,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,492.58 : 171,706.05 = 38,582.82 : x
  2. Step 2: Convert to fraction form
    114,492.58/171,706.05 = 38,582.82/x
  3. Step 3: Cross multiply
    114,492.58x = 171,706.05 × 38,582.82
  4. Step 4: Simplify right side
    114,492.58x = 6,624,903,620.06
  5. Step 5: Solve for x
    x = 6,624,903,620.06/114,492.58
  6. Step 6: Final answer
    x = 57,863.17

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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.