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Finding the Fourth Proportional to 47,097.90, 64,994.76 and 28,234.98

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Solution

The fourth proportional to 47,097.90, 64,994.76 and 28,234.98 is: 38,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.90 : 64,994.76 = 28,234.98 : x
  2. Step 2: Convert to fraction form
    47,097.90/64,994.76 = 28,234.98/x
  3. Step 3: Cross multiply
    47,097.90x = 64,994.76 × 28,234.98
  4. Step 4: Simplify right side
    47,097.90x = 1,835,125,748.70
  5. Step 5: Solve for x
    x = 1,835,125,748.70/47,097.90
  6. Step 6: Final answer
    x = 38,964.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.