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Finding the Fourth Proportional to 65,708.68, 90,679.14 and 37,417

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Solution

The fourth proportional to 65,708.68, 90,679.14 and 37,417 is: 51,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.68 : 90,679.14 = 37,417 : x
  2. Step 2: Convert to fraction form
    65,708.68/90,679.14 = 37,417/x
  3. Step 3: Cross multiply
    65,708.68x = 90,679.14 × 37,417
  4. Step 4: Simplify right side
    65,708.68x = 3,392,941,381.38
  5. Step 5: Solve for x
    x = 3,392,941,381.38/65,708.68
  6. Step 6: Final answer
    x = 51,636.12

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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.