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Finding the Fourth Proportional to 52,568.96, 78,806.54 and 19,281.24

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Solution

The fourth proportional to 52,568.96, 78,806.54 and 19,281.24 is: 28,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568.96 : 78,806.54 = 19,281.24 : x
  2. Step 2: Convert to fraction form
    52,568.96/78,806.54 = 19,281.24/x
  3. Step 3: Cross multiply
    52,568.96x = 78,806.54 × 19,281.24
  4. Step 4: Simplify right side
    52,568.96x = 1,519,487,859.51
  5. Step 5: Solve for x
    x = 1,519,487,859.51/52,568.96
  6. Step 6: Final answer
    x = 28,904.66

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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.