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Finding the Fourth Proportional to 82,893.59, 124,303.85 and 23,715.80

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Solution

The fourth proportional to 82,893.59, 124,303.85 and 23,715.80 is: 35,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.59 : 124,303.85 = 23,715.80 : x
  2. Step 2: Convert to fraction form
    82,893.59/124,303.85 = 23,715.80/x
  3. Step 3: Cross multiply
    82,893.59x = 124,303.85 × 23,715.80
  4. Step 4: Simplify right side
    82,893.59x = 2,947,965,127.25
  5. Step 5: Solve for x
    x = 2,947,965,127.25/82,893.59
  6. Step 6: Final answer
    x = 35,563.25

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Why These Related Problems?

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