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Finding the Fourth Proportional to 75,517.50, 113,205.47 and 25,562.64

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Solution

The fourth proportional to 75,517.50, 113,205.47 and 25,562.64 is: 38,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,517.50 : 113,205.47 = 25,562.64 : x
  2. Step 2: Convert to fraction form
    75,517.50/113,205.47 = 25,562.64/x
  3. Step 3: Cross multiply
    75,517.50x = 113,205.47 × 25,562.64
  4. Step 4: Simplify right side
    75,517.50x = 2,893,830,547.83
  5. Step 5: Solve for x
    x = 2,893,830,547.83/75,517.50
  6. Step 6: Final answer
    x = 38,320.00

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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.