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Finding the Fourth Proportional to 47,217, 70,825.50 and 14,385

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Solution

The fourth proportional to 47,217, 70,825.50 and 14,385 is: 21,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,217 : 70,825.50 = 14,385 : x
  2. Step 2: Convert to fraction form
    47,217/70,825.50 = 14,385/x
  3. Step 3: Cross multiply
    47,217x = 70,825.50 × 14,385
  4. Step 4: Simplify right side
    47,217x = 1,018,824,817.50
  5. Step 5: Solve for x
    x = 1,018,824,817.50/47,217
  6. Step 6: Final answer
    x = 21,577.50

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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.