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Finding the Fourth Proportional to 52,568.50, 78,852.78 and 15,632.50

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Solution

The fourth proportional to 52,568.50, 78,852.78 and 15,632.50 is: 23,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568.50 : 78,852.78 = 15,632.50 : x
  2. Step 2: Convert to fraction form
    52,568.50/78,852.78 = 15,632.50/x
  3. Step 3: Cross multiply
    52,568.50x = 78,852.78 × 15,632.50
  4. Step 4: Simplify right side
    52,568.50x = 1,232,666,083.35
  5. Step 5: Solve for x
    x = 1,232,666,083.35/52,568.50
  6. Step 6: Final answer
    x = 23,448.76

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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.