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Finding the Fourth Proportional to 59,482.50, 82,085.88 and 32,986.50

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Solution

The fourth proportional to 59,482.50, 82,085.88 and 32,986.50 is: 45,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,482.50 : 82,085.88 = 32,986.50 : x
  2. Step 2: Convert to fraction form
    59,482.50/82,085.88 = 32,986.50/x
  3. Step 3: Cross multiply
    59,482.50x = 82,085.88 × 32,986.50
  4. Step 4: Simplify right side
    59,482.50x = 2,707,725,880.62
  5. Step 5: Solve for x
    x = 2,707,725,880.62/59,482.50
  6. Step 6: Final answer
    x = 45,521.39

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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.