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Finding the Fourth Proportional to 52,682.64, 72,695.08 and 33,845.36

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Solution

The fourth proportional to 52,682.64, 72,695.08 and 33,845.36 is: 46,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,682.64 : 72,695.08 = 33,845.36 : x
  2. Step 2: Convert to fraction form
    52,682.64/72,695.08 = 33,845.36/x
  3. Step 3: Cross multiply
    52,682.64x = 72,695.08 × 33,845.36
  4. Step 4: Simplify right side
    52,682.64x = 2,460,391,152.83
  5. Step 5: Solve for x
    x = 2,460,391,152.83/52,682.64
  6. Step 6: Final answer
    x = 46,702.12

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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.