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Finding the Fourth Proportional to 27,010.71, 40,461.79 and 13,461

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Solution

The fourth proportional to 27,010.71, 40,461.79 and 13,461 is: 20,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010.71 : 40,461.79 = 13,461 : x
  2. Step 2: Convert to fraction form
    27,010.71/40,461.79 = 13,461/x
  3. Step 3: Cross multiply
    27,010.71x = 40,461.79 × 13,461
  4. Step 4: Simplify right side
    27,010.71x = 544,656,155.19
  5. Step 5: Solve for x
    x = 544,656,155.19/27,010.71
  6. Step 6: Final answer
    x = 20,164.45

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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.