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Finding the Fourth Proportional to 55,798.98, 83,661.81 and 31,784.10

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Solution

The fourth proportional to 55,798.98, 83,661.81 and 31,784.10 is: 47,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,798.98 : 83,661.81 = 31,784.10 : x
  2. Step 2: Convert to fraction form
    55,798.98/83,661.81 = 31,784.10/x
  3. Step 3: Cross multiply
    55,798.98x = 83,661.81 × 31,784.10
  4. Step 4: Simplify right side
    55,798.98x = 2,659,115,081.08
  5. Step 5: Solve for x
    x = 2,659,115,081.08/55,798.98
  6. Step 6: Final answer
    x = 47,655.27

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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.