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Finding the Fourth Proportional to 47,358, 71,037.54 and 14,077.20

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Solution

The fourth proportional to 47,358, 71,037.54 and 14,077.20 is: 21,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 71,037.54 = 14,077.20 : x
  2. Step 2: Convert to fraction form
    47,358/71,037.54 = 14,077.20/x
  3. Step 3: Cross multiply
    47,358x = 71,037.54 × 14,077.20
  4. Step 4: Simplify right side
    47,358x = 1,000,009,658.09
  5. Step 5: Solve for x
    x = 1,000,009,658.09/47,358
  6. Step 6: Final answer
    x = 21,115.96

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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.