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Finding the Fourth Proportional to 55,302.86, 82,550.55 and 47,455.80

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Solution

The fourth proportional to 55,302.86, 82,550.55 and 47,455.80 is: 70,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.86 : 82,550.55 = 47,455.80 : x
  2. Step 2: Convert to fraction form
    55,302.86/82,550.55 = 47,455.80/x
  3. Step 3: Cross multiply
    55,302.86x = 82,550.55 × 47,455.80
  4. Step 4: Simplify right side
    55,302.86x = 3,917,502,390.69
  5. Step 5: Solve for x
    x = 3,917,502,390.69/55,302.86
  6. Step 6: Final answer
    x = 70,837.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.