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Finding the Fourth Proportional to 58,728.36, 87,988.74 and 31,045.80

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Solution

The fourth proportional to 58,728.36, 87,988.74 and 31,045.80 is: 46,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,728.36 : 87,988.74 = 31,045.80 : x
  2. Step 2: Convert to fraction form
    58,728.36/87,988.74 = 31,045.80/x
  3. Step 3: Cross multiply
    58,728.36x = 87,988.74 × 31,045.80
  4. Step 4: Simplify right side
    58,728.36x = 2,731,680,824.29
  5. Step 5: Solve for x
    x = 2,731,680,824.29/58,728.36
  6. Step 6: Final answer
    x = 46,513.83

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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.