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Finding the Fourth Proportional to 52,568.91, 78,810.84 and 35,886.96

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Solution

The fourth proportional to 52,568.91, 78,810.84 and 35,886.96 is: 53,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568.91 : 78,810.84 = 35,886.96 : x
  2. Step 2: Convert to fraction form
    52,568.91/78,810.84 = 35,886.96/x
  3. Step 3: Cross multiply
    52,568.91x = 78,810.84 × 35,886.96
  4. Step 4: Simplify right side
    52,568.91x = 2,828,281,462.65
  5. Step 5: Solve for x
    x = 2,828,281,462.65/52,568.91
  6. Step 6: Final answer
    x = 53,801.41

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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.