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Finding the Fourth Proportional to 102,506.88, 153,759.41 and 32,386.19

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Solution

The fourth proportional to 102,506.88, 153,759.41 and 32,386.19 is: 48,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.88 : 153,759.41 = 32,386.19 : x
  2. Step 2: Convert to fraction form
    102,506.88/153,759.41 = 32,386.19/x
  3. Step 3: Cross multiply
    102,506.88x = 153,759.41 × 32,386.19
  4. Step 4: Simplify right side
    102,506.88x = 4,979,681,304.62
  5. Step 5: Solve for x
    x = 4,979,681,304.62/102,506.88
  6. Step 6: Final answer
    x = 48,579.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.