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Finding the Fourth Proportional to 65,547.28, 98,419.38 and 37,499

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Solution

The fourth proportional to 65,547.28, 98,419.38 and 37,499 is: 56,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,547.28 : 98,419.38 = 37,499 : x
  2. Step 2: Convert to fraction form
    65,547.28/98,419.38 = 37,499/x
  3. Step 3: Cross multiply
    65,547.28x = 98,419.38 × 37,499
  4. Step 4: Simplify right side
    65,547.28x = 3,690,628,330.62
  5. Step 5: Solve for x
    x = 3,690,628,330.62/65,547.28
  6. Step 6: Final answer
    x = 56,304.83

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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.