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Finding the Fourth Proportional to 97,798.92, 134,952.66 and 55,350.06

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Solution

The fourth proportional to 97,798.92, 134,952.66 and 55,350.06 is: 76,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798.92 : 134,952.66 = 55,350.06 : x
  2. Step 2: Convert to fraction form
    97,798.92/134,952.66 = 55,350.06/x
  3. Step 3: Cross multiply
    97,798.92x = 134,952.66 × 55,350.06
  4. Step 4: Simplify right side
    97,798.92x = 7,469,637,828.16
  5. Step 5: Solve for x
    x = 7,469,637,828.16/97,798.92
  6. Step 6: Final answer
    x = 76,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.