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Finding the Fourth Proportional to 38,382.32, 52,971.44 and 22,465.84

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Solution

The fourth proportional to 38,382.32, 52,971.44 and 22,465.84 is: 31,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.32 : 52,971.44 = 22,465.84 : x
  2. Step 2: Convert to fraction form
    38,382.32/52,971.44 = 22,465.84/x
  3. Step 3: Cross multiply
    38,382.32x = 52,971.44 × 22,465.84
  4. Step 4: Simplify right side
    38,382.32x = 1,190,047,895.61
  5. Step 5: Solve for x
    x = 1,190,047,895.61/38,382.32
  6. Step 6: Final answer
    x = 31,005.11

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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.