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Finding the Fourth Proportional to 114,074.61, 171,141.08 and 47,492.61

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Solution

The fourth proportional to 114,074.61, 171,141.08 and 47,492.61 is: 71,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,074.61 : 171,141.08 = 47,492.61 : x
  2. Step 2: Convert to fraction form
    114,074.61/171,141.08 = 47,492.61/x
  3. Step 3: Cross multiply
    114,074.61x = 171,141.08 × 47,492.61
  4. Step 4: Simplify right side
    114,074.61x = 8,127,936,329.96
  5. Step 5: Solve for x
    x = 8,127,936,329.96/114,074.61
  6. Step 6: Final answer
    x = 71,251.06

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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.