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Finding the Fourth Proportional to 49,730.42, 74,519.04 and 23,060

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Solution

The fourth proportional to 49,730.42, 74,519.04 and 23,060 is: 34,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,730.42 : 74,519.04 = 23,060 : x
  2. Step 2: Convert to fraction form
    49,730.42/74,519.04 = 23,060/x
  3. Step 3: Cross multiply
    49,730.42x = 74,519.04 × 23,060
  4. Step 4: Simplify right side
    49,730.42x = 1,718,409,062.40
  5. Step 5: Solve for x
    x = 1,718,409,062.40/49,730.42
  6. Step 6: Final answer
    x = 34,554.49

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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.