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Finding the Fourth Proportional to 58,501.38, 80,731.81 and 31,643.81

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Solution

The fourth proportional to 58,501.38, 80,731.81 and 31,643.81 is: 43,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,501.38 : 80,731.81 = 31,643.81 : x
  2. Step 2: Convert to fraction form
    58,501.38/80,731.81 = 31,643.81/x
  3. Step 3: Cross multiply
    58,501.38x = 80,731.81 × 31,643.81
  4. Step 4: Simplify right side
    58,501.38x = 2,554,661,573.83
  5. Step 5: Solve for x
    x = 2,554,661,573.83/58,501.38
  6. Step 6: Final answer
    x = 43,668.40

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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.