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Finding the Fourth Proportional to 57,072.32, 78,746.88 and 35,843.84

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Solution

The fourth proportional to 57,072.32, 78,746.88 and 35,843.84 is: 49,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072.32 : 78,746.88 = 35,843.84 : x
  2. Step 2: Convert to fraction form
    57,072.32/78,746.88 = 35,843.84/x
  3. Step 3: Cross multiply
    57,072.32x = 78,746.88 × 35,843.84
  4. Step 4: Simplify right side
    57,072.32x = 2,822,590,567.22
  5. Step 5: Solve for x
    x = 2,822,590,567.22/57,072.32
  6. Step 6: Final answer
    x = 49,456.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.