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Finding the Fourth Proportional to 47,239.84, 70,870.74 and 16,075

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Solution

The fourth proportional to 47,239.84, 70,870.74 and 16,075 is: 24,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239.84 : 70,870.74 = 16,075 : x
  2. Step 2: Convert to fraction form
    47,239.84/70,870.74 = 16,075/x
  3. Step 3: Cross multiply
    47,239.84x = 70,870.74 × 16,075
  4. Step 4: Simplify right side
    47,239.84x = 1,139,247,145.50
  5. Step 5: Solve for x
    x = 1,139,247,145.50/47,239.84
  6. Step 6: Final answer
    x = 24,116.24

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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.