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Finding the Fourth Proportional to 54,671.76, 75,433.77 and 30,798.45

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Solution

The fourth proportional to 54,671.76, 75,433.77 and 30,798.45 is: 42,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.76 : 75,433.77 = 30,798.45 : x
  2. Step 2: Convert to fraction form
    54,671.76/75,433.77 = 30,798.45/x
  3. Step 3: Cross multiply
    54,671.76x = 75,433.77 × 30,798.45
  4. Step 4: Simplify right side
    54,671.76x = 2,323,243,193.66
  5. Step 5: Solve for x
    x = 2,323,243,193.66/54,671.76
  6. Step 6: Final answer
    x = 42,494.39

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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.