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Finding the Fourth Proportional to 27,404.31, 37,818.05 and 14,829.06

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Solution

The fourth proportional to 27,404.31, 37,818.05 and 14,829.06 is: 20,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.31 : 37,818.05 = 14,829.06 : x
  2. Step 2: Convert to fraction form
    27,404.31/37,818.05 = 14,829.06/x
  3. Step 3: Cross multiply
    27,404.31x = 37,818.05 × 14,829.06
  4. Step 4: Simplify right side
    27,404.31x = 560,806,132.53
  5. Step 5: Solve for x
    x = 560,806,132.53/27,404.31
  6. Step 6: Final answer
    x = 20,464.16

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1.5x scale

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.