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Finding the Fourth Proportional to 55,458.35, 76,532.52 and 31,587.24

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Solution

The fourth proportional to 55,458.35, 76,532.52 and 31,587.24 is: 43,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,458.35 : 76,532.52 = 31,587.24 : x
  2. Step 2: Convert to fraction form
    55,458.35/76,532.52 = 31,587.24/x
  3. Step 3: Cross multiply
    55,458.35x = 76,532.52 × 31,587.24
  4. Step 4: Simplify right side
    55,458.35x = 2,417,451,178.41
  5. Step 5: Solve for x
    x = 2,417,451,178.41/55,458.35
  6. Step 6: Final answer
    x = 43,590.39

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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.