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Finding the Fourth Proportional to 51,913.49, 77,585.81 and 37,903.05

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Solution

The fourth proportional to 51,913.49, 77,585.81 and 37,903.05 is: 56,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,913.49 : 77,585.81 = 37,903.05 : x
  2. Step 2: Convert to fraction form
    51,913.49/77,585.81 = 37,903.05/x
  3. Step 3: Cross multiply
    51,913.49x = 77,585.81 × 37,903.05
  4. Step 4: Simplify right side
    51,913.49x = 2,940,738,646.21
  5. Step 5: Solve for x
    x = 2,940,738,646.21/51,913.49
  6. Step 6: Final answer
    x = 56,646.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.