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Finding the Fourth Proportional to 65,926.53, 90,978.66 and 35,711.91

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Solution

The fourth proportional to 65,926.53, 90,978.66 and 35,711.91 is: 49,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,926.53 : 90,978.66 = 35,711.91 : x
  2. Step 2: Convert to fraction form
    65,926.53/90,978.66 = 35,711.91/x
  3. Step 3: Cross multiply
    65,926.53x = 90,978.66 × 35,711.91
  4. Step 4: Simplify right side
    65,926.53x = 3,249,021,717.84
  5. Step 5: Solve for x
    x = 3,249,021,717.84/65,926.53
  6. Step 6: Final answer
    x = 49,282.46

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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.