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Finding the Fourth Proportional to 47,114, 70,671.12 and 14,282

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Solution

The fourth proportional to 47,114, 70,671.12 and 14,282 is: 21,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114 : 70,671.12 = 14,282 : x
  2. Step 2: Convert to fraction form
    47,114/70,671.12 = 14,282/x
  3. Step 3: Cross multiply
    47,114x = 70,671.12 × 14,282
  4. Step 4: Simplify right side
    47,114x = 1,009,324,935.84
  5. Step 5: Solve for x
    x = 1,009,324,935.84/47,114
  6. Step 6: Final answer
    x = 21,423.04

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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.