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Finding the Fourth Proportional to 52,444.32, 72,365.04 and 30,084

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Solution

The fourth proportional to 52,444.32, 72,365.04 and 30,084 is: 41,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,444.32 : 72,365.04 = 30,084 : x
  2. Step 2: Convert to fraction form
    52,444.32/72,365.04 = 30,084/x
  3. Step 3: Cross multiply
    52,444.32x = 72,365.04 × 30,084
  4. Step 4: Simplify right side
    52,444.32x = 2,177,029,863.36
  5. Step 5: Solve for x
    x = 2,177,029,863.36/52,444.32
  6. Step 6: Final answer
    x = 41,511.26

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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.