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Finding the Fourth Proportional to 52,804.40, 72,863.16 and 31,575.92

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Solution

The fourth proportional to 52,804.40, 72,863.16 and 31,575.92 is: 43,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,804.40 : 72,863.16 = 31,575.92 : x
  2. Step 2: Convert to fraction form
    52,804.40/72,863.16 = 31,575.92/x
  3. Step 3: Cross multiply
    52,804.40x = 72,863.16 × 31,575.92
  4. Step 4: Simplify right side
    52,804.40x = 2,300,721,311.11
  5. Step 5: Solve for x
    x = 2,300,721,311.11/52,804.40
  6. Step 6: Final answer
    x = 43,570.64

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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.