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Finding the Fourth Proportional to 47,257, 70,897.02 and 14,425

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Solution

The fourth proportional to 47,257, 70,897.02 and 14,425 is: 21,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257 : 70,897.02 = 14,425 : x
  2. Step 2: Convert to fraction form
    47,257/70,897.02 = 14,425/x
  3. Step 3: Cross multiply
    47,257x = 70,897.02 × 14,425
  4. Step 4: Simplify right side
    47,257x = 1,022,689,513.50
  5. Step 5: Solve for x
    x = 1,022,689,513.50/47,257
  6. Step 6: Final answer
    x = 21,641.02

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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.