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Finding the Fourth Proportional to 54,603.12, 75,346.20 and 30,738

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Solution

The fourth proportional to 54,603.12, 75,346.20 and 30,738 is: 42,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,603.12 : 75,346.20 = 30,738 : x
  2. Step 2: Convert to fraction form
    54,603.12/75,346.20 = 30,738/x
  3. Step 3: Cross multiply
    54,603.12x = 75,346.20 × 30,738
  4. Step 4: Simplify right side
    54,603.12x = 2,315,991,495.60
  5. Step 5: Solve for x
    x = 2,315,991,495.60/54,603.12
  6. Step 6: Final answer
    x = 42,415.00

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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.