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Finding the Fourth Proportional to 27,431.34, 37,855.08 and 14,856

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Solution

The fourth proportional to 27,431.34, 37,855.08 and 14,856 is: 20,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.34 : 37,855.08 = 14,856 : x
  2. Step 2: Convert to fraction form
    27,431.34/37,855.08 = 14,856/x
  3. Step 3: Cross multiply
    27,431.34x = 37,855.08 × 14,856
  4. Step 4: Simplify right side
    27,431.34x = 562,375,068.48
  5. Step 5: Solve for x
    x = 562,375,068.48/27,431.34
  6. Step 6: Final answer
    x = 20,501.19

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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.