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Finding the Fourth Proportional to 54,782.76, 75,582.54 and 43,261.11

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Solution

The fourth proportional to 54,782.76, 75,582.54 and 43,261.11 is: 59,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.76 : 75,582.54 = 43,261.11 : x
  2. Step 2: Convert to fraction form
    54,782.76/75,582.54 = 43,261.11/x
  3. Step 3: Cross multiply
    54,782.76x = 75,582.54 × 43,261.11
  4. Step 4: Simplify right side
    54,782.76x = 3,269,784,577.02
  5. Step 5: Solve for x
    x = 3,269,784,577.02/54,782.76
  6. Step 6: Final answer
    x = 59,686.38

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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.