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Finding the Fourth Proportional to 83,409.84, 125,075.88 and 48,359.52

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Solution

The fourth proportional to 83,409.84, 125,075.88 and 48,359.52 is: 72,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.84 : 125,075.88 = 48,359.52 : x
  2. Step 2: Convert to fraction form
    83,409.84/125,075.88 = 48,359.52/x
  3. Step 3: Cross multiply
    83,409.84x = 125,075.88 × 48,359.52
  4. Step 4: Simplify right side
    83,409.84x = 6,048,609,520.38
  5. Step 5: Solve for x
    x = 6,048,609,520.38/83,409.84
  6. Step 6: Final answer
    x = 72,516.74

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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.