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Finding the Fourth Proportional to 82,574.34, 123,894.33 and 26,423.10

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Solution

The fourth proportional to 82,574.34, 123,894.33 and 26,423.10 is: 39,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,574.34 : 123,894.33 = 26,423.10 : x
  2. Step 2: Convert to fraction form
    82,574.34/123,894.33 = 26,423.10/x
  3. Step 3: Cross multiply
    82,574.34x = 123,894.33 × 26,423.10
  4. Step 4: Simplify right side
    82,574.34x = 3,273,672,271.02
  5. Step 5: Solve for x
    x = 3,273,672,271.02/82,574.34
  6. Step 6: Final answer
    x = 39,645.15

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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.