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Finding the Fourth Proportional to 52,537.96, 72,529.14 and 40,574.44

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Solution

The fourth proportional to 52,537.96, 72,529.14 and 40,574.44 is: 56,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.96 : 72,529.14 = 40,574.44 : x
  2. Step 2: Convert to fraction form
    52,537.96/72,529.14 = 40,574.44/x
  3. Step 3: Cross multiply
    52,537.96x = 72,529.14 × 40,574.44
  4. Step 4: Simplify right side
    52,537.96x = 2,942,829,239.18
  5. Step 5: Solve for x
    x = 2,942,829,239.18/52,537.96
  6. Step 6: Final answer
    x = 56,013.39

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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.