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Finding the Fourth Proportional to 102,274.48, 153,344.04 and 48,974.32

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Solution

The fourth proportional to 102,274.48, 153,344.04 and 48,974.32 is: 73,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274.48 : 153,344.04 = 48,974.32 : x
  2. Step 2: Convert to fraction form
    102,274.48/153,344.04 = 48,974.32/x
  3. Step 3: Cross multiply
    102,274.48x = 153,344.04 × 48,974.32
  4. Step 4: Simplify right side
    102,274.48x = 7,509,920,085.05
  5. Step 5: Solve for x
    x = 7,509,920,085.05/102,274.48
  6. Step 6: Final answer
    x = 73,429.07

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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.