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Finding the Fourth Proportional to 33,095.76, 49,648.50 and 9,719.16

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Solution

The fourth proportional to 33,095.76, 49,648.50 and 9,719.16 is: 14,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.76 : 49,648.50 = 9,719.16 : x
  2. Step 2: Convert to fraction form
    33,095.76/49,648.50 = 9,719.16/x
  3. Step 3: Cross multiply
    33,095.76x = 49,648.50 × 9,719.16
  4. Step 4: Simplify right side
    33,095.76x = 482,541,715.26
  5. Step 5: Solve for x
    x = 482,541,715.26/33,095.76
  6. Step 6: Final answer
    x = 14,580.17

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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.