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Finding the Fourth Proportional to 77,617.51, 116,328.87 and 33,192.03

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Solution

The fourth proportional to 77,617.51, 116,328.87 and 33,192.03 is: 49,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,617.51 : 116,328.87 = 33,192.03 : x
  2. Step 2: Convert to fraction form
    77,617.51/116,328.87 = 33,192.03/x
  3. Step 3: Cross multiply
    77,617.51x = 116,328.87 × 33,192.03
  4. Step 4: Simplify right side
    77,617.51x = 3,861,191,342.91
  5. Step 5: Solve for x
    x = 3,861,191,342.91/77,617.51
  6. Step 6: Final answer
    x = 49,746.40

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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.