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Finding the Fourth Proportional to 97,046.51, 133,927.02 and 54,604.13

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Solution

The fourth proportional to 97,046.51, 133,927.02 and 54,604.13 is: 75,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,046.51 : 133,927.02 = 54,604.13 : x
  2. Step 2: Convert to fraction form
    97,046.51/133,927.02 = 54,604.13/x
  3. Step 3: Cross multiply
    97,046.51x = 133,927.02 × 54,604.13
  4. Step 4: Simplify right side
    97,046.51x = 7,312,967,740.96
  5. Step 5: Solve for x
    x = 7,312,967,740.96/97,046.51
  6. Step 6: Final answer
    x = 75,355.29

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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.