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Finding the Fourth Proportional to 47,661.66, 71,492.03 and 12,123.08

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Solution

The fourth proportional to 47,661.66, 71,492.03 and 12,123.08 is: 18,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.66 : 71,492.03 = 12,123.08 : x
  2. Step 2: Convert to fraction form
    47,661.66/71,492.03 = 12,123.08/x
  3. Step 3: Cross multiply
    47,661.66x = 71,492.03 × 12,123.08
  4. Step 4: Simplify right side
    47,661.66x = 866,703,599.05
  5. Step 5: Solve for x
    x = 866,703,599.05/47,661.66
  6. Step 6: Final answer
    x = 18,184.50

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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.