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Finding the Fourth Proportional to 75,271.50, 112,950.99 and 33,718.50

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Solution

The fourth proportional to 75,271.50, 112,950.99 and 33,718.50 is: 50,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.50 : 112,950.99 = 33,718.50 : x
  2. Step 2: Convert to fraction form
    75,271.50/112,950.99 = 33,718.50/x
  3. Step 3: Cross multiply
    75,271.50x = 112,950.99 × 33,718.50
  4. Step 4: Simplify right side
    75,271.50x = 3,808,537,956.32
  5. Step 5: Solve for x
    x = 3,808,537,956.32/75,271.50
  6. Step 6: Final answer
    x = 50,597.34

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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.