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Finding the Fourth Proportional to 30,454, 45,435.32 and 27,129.76

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Solution

The fourth proportional to 30,454, 45,435.32 and 27,129.76 is: 40,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454 : 45,435.32 = 27,129.76 : x
  2. Step 2: Convert to fraction form
    30,454/45,435.32 = 27,129.76/x
  3. Step 3: Cross multiply
    30,454x = 45,435.32 × 27,129.76
  4. Step 4: Simplify right side
    30,454x = 1,232,649,327.12
  5. Step 5: Solve for x
    x = 1,232,649,327.12/30,454
  6. Step 6: Final answer
    x = 40,475.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.