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Finding the Fourth Proportional to 99,046.51, 136,683.38 and 53,724.38

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Solution

The fourth proportional to 99,046.51, 136,683.38 and 53,724.38 is: 74,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,046.51 : 136,683.38 = 53,724.38 : x
  2. Step 2: Convert to fraction form
    99,046.51/136,683.38 = 53,724.38/x
  3. Step 3: Cross multiply
    99,046.51x = 136,683.38 × 53,724.38
  4. Step 4: Simplify right side
    99,046.51x = 7,343,229,297.70
  5. Step 5: Solve for x
    x = 7,343,229,297.70/99,046.51
  6. Step 6: Final answer
    x = 74,139.20

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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.