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Finding the Fourth Proportional to 33,155.50, 49,753.98 and 13,434.16

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Solution

The fourth proportional to 33,155.50, 49,753.98 and 13,434.16 is: 20,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.50 : 49,753.98 = 13,434.16 : x
  2. Step 2: Convert to fraction form
    33,155.50/49,753.98 = 13,434.16/x
  3. Step 3: Cross multiply
    33,155.50x = 49,753.98 × 13,434.16
  4. Step 4: Simplify right side
    33,155.50x = 668,402,927.96
  5. Step 5: Solve for x
    x = 668,402,927.96/33,155.50
  6. Step 6: Final answer
    x = 20,159.64

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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.