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Finding the Fourth Proportional to 65,713.82, 90,684.98 and 37,419.51

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Solution

The fourth proportional to 65,713.82, 90,684.98 and 37,419.51 is: 51,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.82 : 90,684.98 = 37,419.51 : x
  2. Step 2: Convert to fraction form
    65,713.82/90,684.98 = 37,419.51/x
  3. Step 3: Cross multiply
    65,713.82x = 90,684.98 × 37,419.51
  4. Step 4: Simplify right side
    65,713.82x = 3,393,387,515.96
  5. Step 5: Solve for x
    x = 3,393,387,515.96/65,713.82
  6. Step 6: Final answer
    x = 51,638.87

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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.