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Finding the Fourth Proportional to 54,210.45, 74,811.32 and 29,680.86

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Solution

The fourth proportional to 54,210.45, 74,811.32 and 29,680.86 is: 40,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,210.45 : 74,811.32 = 29,680.86 : x
  2. Step 2: Convert to fraction form
    54,210.45/74,811.32 = 29,680.86/x
  3. Step 3: Cross multiply
    54,210.45x = 74,811.32 × 29,680.86
  4. Step 4: Simplify right side
    54,210.45x = 2,220,464,315.34
  5. Step 5: Solve for x
    x = 2,220,464,315.34/54,210.45
  6. Step 6: Final answer
    x = 40,960.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.