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Finding the Fourth Proportional to 82,813.59, 124,199.53 and 23,649.57

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Solution

The fourth proportional to 82,813.59, 124,199.53 and 23,649.57 is: 35,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.59 : 124,199.53 = 23,649.57 : x
  2. Step 2: Convert to fraction form
    82,813.59/124,199.53 = 23,649.57/x
  3. Step 3: Cross multiply
    82,813.59x = 124,199.53 × 23,649.57
  4. Step 4: Simplify right side
    82,813.59x = 2,937,265,419.58
  5. Step 5: Solve for x
    x = 2,937,265,419.58/82,813.59
  6. Step 6: Final answer
    x = 35,468.40

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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.