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Finding the Fourth Proportional to 47,162, 70,743.48 and 14,330

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Solution

The fourth proportional to 47,162, 70,743.48 and 14,330 is: 21,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162 : 70,743.48 = 14,330 : x
  2. Step 2: Convert to fraction form
    47,162/70,743.48 = 14,330/x
  3. Step 3: Cross multiply
    47,162x = 70,743.48 × 14,330
  4. Step 4: Simplify right side
    47,162x = 1,013,754,068.40
  5. Step 5: Solve for x
    x = 1,013,754,068.40/47,162
  6. Step 6: Final answer
    x = 21,495.15

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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.