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Finding the Fourth Proportional to 75,019.65, 103,539.86 and 43,206.98

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Solution

The fourth proportional to 75,019.65, 103,539.86 and 43,206.98 is: 59,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,019.65 : 103,539.86 = 43,206.98 : x
  2. Step 2: Convert to fraction form
    75,019.65/103,539.86 = 43,206.98/x
  3. Step 3: Cross multiply
    75,019.65x = 103,539.86 × 43,206.98
  4. Step 4: Simplify right side
    75,019.65x = 4,473,643,926.49
  5. Step 5: Solve for x
    x = 4,473,643,926.49/75,019.65
  6. Step 6: Final answer
    x = 59,632.96

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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.