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Finding the Fourth Proportional to 27,385.50, 37,792.08 and 14,810.34

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Solution

The fourth proportional to 27,385.50, 37,792.08 and 14,810.34 is: 20,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.50 : 37,792.08 = 14,810.34 : x
  2. Step 2: Convert to fraction form
    27,385.50/37,792.08 = 14,810.34/x
  3. Step 3: Cross multiply
    27,385.50x = 37,792.08 × 14,810.34
  4. Step 4: Simplify right side
    27,385.50x = 559,713,554.11
  5. Step 5: Solve for x
    x = 559,713,554.11/27,385.50
  6. Step 6: Final answer
    x = 20,438.32

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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.