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Finding the Fourth Proportional to 52,372.32, 72,265.68 and 30,012

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Solution

The fourth proportional to 52,372.32, 72,265.68 and 30,012 is: 41,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,372.32 : 72,265.68 = 30,012 : x
  2. Step 2: Convert to fraction form
    52,372.32/72,265.68 = 30,012/x
  3. Step 3: Cross multiply
    52,372.32x = 72,265.68 × 30,012
  4. Step 4: Simplify right side
    52,372.32x = 2,168,837,588.16
  5. Step 5: Solve for x
    x = 2,168,837,588.16/52,372.32
  6. Step 6: Final answer
    x = 41,411.91

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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.