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Finding the Fourth Proportional to 57,010.32, 78,702.30 and 35,801.28

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Solution

The fourth proportional to 57,010.32, 78,702.30 and 35,801.28 is: 49,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.32 : 78,702.30 = 35,801.28 : x
  2. Step 2: Convert to fraction form
    57,010.32/78,702.30 = 35,801.28/x
  3. Step 3: Cross multiply
    57,010.32x = 78,702.30 × 35,801.28
  4. Step 4: Simplify right side
    57,010.32x = 2,817,643,078.94
  5. Step 5: Solve for x
    x = 2,817,643,078.94/57,010.32
  6. Step 6: Final answer
    x = 49,423.39

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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.