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Finding the Fourth Proportional to 55,362.94, 76,404.96 and 31,497.30

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Solution

The fourth proportional to 55,362.94, 76,404.96 and 31,497.30 is: 43,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362.94 : 76,404.96 = 31,497.30 : x
  2. Step 2: Convert to fraction form
    55,362.94/76,404.96 = 31,497.30/x
  3. Step 3: Cross multiply
    55,362.94x = 76,404.96 × 31,497.30
  4. Step 4: Simplify right side
    55,362.94x = 2,406,549,946.61
  5. Step 5: Solve for x
    x = 2,406,549,946.61/55,362.94
  6. Step 6: Final answer
    x = 43,468.61

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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.