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Finding the Fourth Proportional to 73,184.81, 109,775.70 and 23,265

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Solution

The fourth proportional to 73,184.81, 109,775.70 and 23,265 is: 34,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184.81 : 109,775.70 = 23,265 : x
  2. Step 2: Convert to fraction form
    73,184.81/109,775.70 = 23,265/x
  3. Step 3: Cross multiply
    73,184.81x = 109,775.70 × 23,265
  4. Step 4: Simplify right side
    73,184.81x = 2,553,931,660.50
  5. Step 5: Solve for x
    x = 2,553,931,660.50/73,184.81
  6. Step 6: Final answer
    x = 34,897.02

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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.