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Finding the Fourth Proportional to 54,716.40, 75,506.45 and 30,848.06

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Solution

The fourth proportional to 54,716.40, 75,506.45 and 30,848.06 is: 42,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.40 : 75,506.45 = 30,848.06 : x
  2. Step 2: Convert to fraction form
    54,716.40/75,506.45 = 30,848.06/x
  3. Step 3: Cross multiply
    54,716.40x = 75,506.45 × 30,848.06
  4. Step 4: Simplify right side
    54,716.40x = 2,329,227,534.51
  5. Step 5: Solve for x
    x = 2,329,227,534.51/54,716.40
  6. Step 6: Final answer
    x = 42,569.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.