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Finding the Fourth Proportional to 55,389.60, 83,111.51 and 34,324

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Solution

The fourth proportional to 55,389.60, 83,111.51 and 34,324 is: 51,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,389.60 : 83,111.51 = 34,324 : x
  2. Step 2: Convert to fraction form
    55,389.60/83,111.51 = 34,324/x
  3. Step 3: Cross multiply
    55,389.60x = 83,111.51 × 34,324
  4. Step 4: Simplify right side
    55,389.60x = 2,852,719,469.24
  5. Step 5: Solve for x
    x = 2,852,719,469.24/55,389.60
  6. Step 6: Final answer
    x = 51,502.80

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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.