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Finding the Fourth Proportional to 54,691.04, 75,476.40 and 33,464

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Solution

The fourth proportional to 54,691.04, 75,476.40 and 33,464 is: 46,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.04 : 75,476.40 = 33,464 : x
  2. Step 2: Convert to fraction form
    54,691.04/75,476.40 = 33,464/x
  3. Step 3: Cross multiply
    54,691.04x = 75,476.40 × 33,464
  4. Step 4: Simplify right side
    54,691.04x = 2,525,742,249.60
  5. Step 5: Solve for x
    x = 2,525,742,249.60/54,691.04
  6. Step 6: Final answer
    x = 46,182.01

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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.