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Finding the Fourth Proportional to 27,985.34, 38,623.13 and 16,048.67

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Solution

The fourth proportional to 27,985.34, 38,623.13 and 16,048.67 is: 22,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.34 : 38,623.13 = 16,048.67 : x
  2. Step 2: Convert to fraction form
    27,985.34/38,623.13 = 16,048.67/x
  3. Step 3: Cross multiply
    27,985.34x = 38,623.13 × 16,048.67
  4. Step 4: Simplify right side
    27,985.34x = 619,849,594.38
  5. Step 5: Solve for x
    x = 619,849,594.38/27,985.34
  6. Step 6: Final answer
    x = 22,149.09

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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.