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Finding the Fourth Proportional to 51,106.68, 70,507.58 and 37,709.87

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Solution

The fourth proportional to 51,106.68, 70,507.58 and 37,709.87 is: 52,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,106.68 : 70,507.58 = 37,709.87 : x
  2. Step 2: Convert to fraction form
    51,106.68/70,507.58 = 37,709.87/x
  3. Step 3: Cross multiply
    51,106.68x = 70,507.58 × 37,709.87
  4. Step 4: Simplify right side
    51,106.68x = 2,658,831,134.73
  5. Step 5: Solve for x
    x = 2,658,831,134.73/51,106.68
  6. Step 6: Final answer
    x = 52,025.12

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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.