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Finding the Fourth Proportional to 76,859, 106,152.90 and 51,664.76

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Solution

The fourth proportional to 76,859, 106,152.90 and 51,664.76 is: 71,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859 : 106,152.90 = 51,664.76 : x
  2. Step 2: Convert to fraction form
    76,859/106,152.90 = 51,664.76/x
  3. Step 3: Cross multiply
    76,859x = 106,152.90 × 51,664.76
  4. Step 4: Simplify right side
    76,859x = 5,484,364,101.80
  5. Step 5: Solve for x
    x = 5,484,364,101.80/76,859
  6. Step 6: Final answer
    x = 71,356.17

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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.