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Finding the Fourth Proportional to 77,234.45, 106,592.52 and 47,037.47

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Solution

The fourth proportional to 77,234.45, 106,592.52 and 47,037.47 is: 64,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.45 : 106,592.52 = 47,037.47 : x
  2. Step 2: Convert to fraction form
    77,234.45/106,592.52 = 47,037.47/x
  3. Step 3: Cross multiply
    77,234.45x = 106,592.52 × 47,037.47
  4. Step 4: Simplify right side
    77,234.45x = 5,013,842,461.72
  5. Step 5: Solve for x
    x = 5,013,842,461.72/77,234.45
  6. Step 6: Final answer
    x = 64,917.18

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