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Finding the Fourth Proportional to 32,891.85, 49,345.88 and 9,520.65

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Solution

The fourth proportional to 32,891.85, 49,345.88 and 9,520.65 is: 14,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.85 : 49,345.88 = 9,520.65 : x
  2. Step 2: Convert to fraction form
    32,891.85/49,345.88 = 9,520.65/x
  3. Step 3: Cross multiply
    32,891.85x = 49,345.88 × 9,520.65
  4. Step 4: Simplify right side
    32,891.85x = 469,804,804.82
  5. Step 5: Solve for x
    x = 469,804,804.82/32,891.85
  6. Step 6: Final answer
    x = 14,283.32

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1.5x scale

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.