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Finding the Fourth Proportional to 65,546.28, 98,417.88 and 37,498

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Solution

The fourth proportional to 65,546.28, 98,417.88 and 37,498 is: 56,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,546.28 : 98,417.88 = 37,498 : x
  2. Step 2: Convert to fraction form
    65,546.28/98,417.88 = 37,498/x
  3. Step 3: Cross multiply
    65,546.28x = 98,417.88 × 37,498
  4. Step 4: Simplify right side
    65,546.28x = 3,690,473,664.24
  5. Step 5: Solve for x
    x = 3,690,473,664.24/65,546.28
  6. Step 6: Final answer
    x = 56,303.33

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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.