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Finding the Fourth Proportional to 52,576.84, 78,864.81 and 13,133.68

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Solution

The fourth proportional to 52,576.84, 78,864.81 and 13,133.68 is: 19,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,576.84 : 78,864.81 = 13,133.68 : x
  2. Step 2: Convert to fraction form
    52,576.84/78,864.81 = 13,133.68/x
  3. Step 3: Cross multiply
    52,576.84x = 78,864.81 × 13,133.68
  4. Step 4: Simplify right side
    52,576.84x = 1,035,785,177.80
  5. Step 5: Solve for x
    x = 1,035,785,177.80/52,576.84
  6. Step 6: Final answer
    x = 19,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.